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Finding the Fourth Proportional to 21,107.16, 29,127 and 11,547

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Solution

The fourth proportional to 21,107.16, 29,127 and 11,547 is: 15,934.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,107.16 : 29,127 = 11,547 : x
  2. Step 2: Convert to fraction form
    21,107.16/29,127 = 11,547/x
  3. Step 3: Cross multiply
    21,107.16x = 29,127 × 11,547
  4. Step 4: Simplify right side
    21,107.16x = 336,329,469
  5. Step 5: Solve for x
    x = 336,329,469/21,107.16
  6. Step 6: Final answer
    x = 15,934.38

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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.