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Finding the Fourth Proportional to 15,762.78, 21,742.29 and 9,475.16

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Solution

The fourth proportional to 15,762.78, 21,742.29 and 9,475.16 is: 13,069.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,762.78 : 21,742.29 = 9,475.16 : x
  2. Step 2: Convert to fraction form
    15,762.78/21,742.29 = 9,475.16/x
  3. Step 3: Cross multiply
    15,762.78x = 21,742.29 × 9,475.16
  4. Step 4: Simplify right side
    15,762.78x = 206,011,567.80
  5. Step 5: Solve for x
    x = 206,011,567.80/15,762.78
  6. Step 6: Final answer
    x = 13,069.49

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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.