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Finding the Fourth Proportional to 3,869.86, 5,348.01 and 3,437.86

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Solution

The fourth proportional to 3,869.86, 5,348.01 and 3,437.86 is: 4,751.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.86 : 5,348.01 = 3,437.86 : x
  2. Step 2: Convert to fraction form
    3,869.86/5,348.01 = 3,437.86/x
  3. Step 3: Cross multiply
    3,869.86x = 5,348.01 × 3,437.86
  4. Step 4: Simplify right side
    3,869.86x = 18,385,709.66
  5. Step 5: Solve for x
    x = 18,385,709.66/3,869.86
  6. Step 6: Final answer
    x = 4,751.00

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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.