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Finding the Fourth Proportional to 15,339, 21,159.16 and 9,664

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Solution

The fourth proportional to 15,339, 21,159.16 and 9,664 is: 13,330.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,339 : 21,159.16 = 9,664 : x
  2. Step 2: Convert to fraction form
    15,339/21,159.16 = 9,664/x
  3. Step 3: Cross multiply
    15,339x = 21,159.16 × 9,664
  4. Step 4: Simplify right side
    15,339x = 204,482,122.24
  5. Step 5: Solve for x
    x = 204,482,122.24/15,339
  6. Step 6: Final answer
    x = 13,330.86

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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.