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Finding the Fourth Proportional to 21,084, 29,095.92 and 12,702.24

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Solution

The fourth proportional to 21,084, 29,095.92 and 12,702.24 is: 17,529.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,084 : 29,095.92 = 12,702.24 : x
  2. Step 2: Convert to fraction form
    21,084/29,095.92 = 12,702.24/x
  3. Step 3: Cross multiply
    21,084x = 29,095.92 × 12,702.24
  4. Step 4: Simplify right side
    21,084x = 369,583,358.86
  5. Step 5: Solve for x
    x = 369,583,358.86/21,084
  6. Step 6: Final answer
    x = 17,529.09

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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.