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Finding the Fourth Proportional to 19,729.88, 29,564.20 and 9,723.16

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Solution

The fourth proportional to 19,729.88, 29,564.20 and 9,723.16 is: 14,569.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,729.88 : 29,564.20 = 9,723.16 : x
  2. Step 2: Convert to fraction form
    19,729.88/29,564.20 = 9,723.16/x
  3. Step 3: Cross multiply
    19,729.88x = 29,564.20 × 9,723.16
  4. Step 4: Simplify right side
    19,729.88x = 287,457,446.87
  5. Step 5: Solve for x
    x = 287,457,446.87/19,729.88
  6. Step 6: Final answer
    x = 14,569.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.