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Finding the Fourth Proportional to 3,142.86, 4,337.55 and 1,900.86

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Solution

The fourth proportional to 3,142.86, 4,337.55 and 1,900.86 is: 2,623.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.86 : 4,337.55 = 1,900.86 : x
  2. Step 2: Convert to fraction form
    3,142.86/4,337.55 = 1,900.86/x
  3. Step 3: Cross multiply
    3,142.86x = 4,337.55 × 1,900.86
  4. Step 4: Simplify right side
    3,142.86x = 8,245,075.29
  5. Step 5: Solve for x
    x = 8,245,075.29/3,142.86
  6. Step 6: Final answer
    x = 2,623.43

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.