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Finding the Fourth Proportional to 15,714.24, 21,685.44 and 8,640.24

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Solution

The fourth proportional to 15,714.24, 21,685.44 and 8,640.24 is: 11,923.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,714.24 : 21,685.44 = 8,640.24 : x
  2. Step 2: Convert to fraction form
    15,714.24/21,685.44 = 8,640.24/x
  3. Step 3: Cross multiply
    15,714.24x = 21,685.44 × 8,640.24
  4. Step 4: Simplify right side
    15,714.24x = 187,367,406.11
  5. Step 5: Solve for x
    x = 187,367,406.11/15,714.24
  6. Step 6: Final answer
    x = 11,923.42

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1.5x scale

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.