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Finding the Fourth Proportional to 15,755.85, 21,742.16 and 9,788.04

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Solution

The fourth proportional to 15,755.85, 21,742.16 and 9,788.04 is: 13,506.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,755.85 : 21,742.16 = 9,788.04 : x
  2. Step 2: Convert to fraction form
    15,755.85/21,742.16 = 9,788.04/x
  3. Step 3: Cross multiply
    15,755.85x = 21,742.16 × 9,788.04
  4. Step 4: Simplify right side
    15,755.85x = 212,813,082.83
  5. Step 5: Solve for x
    x = 212,813,082.83/15,755.85
  6. Step 6: Final answer
    x = 13,506.92

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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.