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Finding the Fourth Proportional to 21,108, 31,657.68 and 10,714.08

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Solution

The fourth proportional to 21,108, 31,657.68 and 10,714.08 is: 16,068.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,108 : 31,657.68 = 10,714.08 : x
  2. Step 2: Convert to fraction form
    21,108/31,657.68 = 10,714.08/x
  3. Step 3: Cross multiply
    21,108x = 31,657.68 × 10,714.08
  4. Step 4: Simplify right side
    21,108x = 339,182,916.13
  5. Step 5: Solve for x
    x = 339,182,916.13/21,108
  6. Step 6: Final answer
    x = 16,068.93

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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.