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Finding the Fourth Proportional to 21,730.17, 32,597.99 and 7,686.90

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Solution

The fourth proportional to 21,730.17, 32,597.99 and 7,686.90 is: 11,531.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,730.17 : 32,597.99 = 7,686.90 : x
  2. Step 2: Convert to fraction form
    21,730.17/32,597.99 = 7,686.90/x
  3. Step 3: Cross multiply
    21,730.17x = 32,597.99 × 7,686.90
  4. Step 4: Simplify right side
    21,730.17x = 250,577,522.96
  5. Step 5: Solve for x
    x = 250,577,522.96/21,730.17
  6. Step 6: Final answer
    x = 11,531.32

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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.