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Finding the Fourth Proportional to 15,762, 21,751.65 and 8,688.30

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Solution

The fourth proportional to 15,762, 21,751.65 and 8,688.30 is: 11,989.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,762 : 21,751.65 = 8,688.30 : x
  2. Step 2: Convert to fraction form
    15,762/21,751.65 = 8,688.30/x
  3. Step 3: Cross multiply
    15,762x = 21,751.65 × 8,688.30
  4. Step 4: Simplify right side
    15,762x = 188,984,860.70
  5. Step 5: Solve for x
    x = 188,984,860.70/15,762
  6. Step 6: Final answer
    x = 11,989.90

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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.