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Finding the Fourth Proportional to 3,164.34, 4,366.98 and 1,985.82

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Solution

The fourth proportional to 3,164.34, 4,366.98 and 1,985.82 is: 2,740.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.34 : 4,366.98 = 1,985.82 : x
  2. Step 2: Convert to fraction form
    3,164.34/4,366.98 = 1,985.82/x
  3. Step 3: Cross multiply
    3,164.34x = 4,366.98 × 1,985.82
  4. Step 4: Simplify right side
    3,164.34x = 8,672,036.22
  5. Step 5: Solve for x
    x = 8,672,036.22/3,164.34
  6. Step 6: Final answer
    x = 2,740.55

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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.