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Finding the Fourth Proportional to 15,714.90, 21,684.78 and 8,640.90

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Solution

The fourth proportional to 15,714.90, 21,684.78 and 8,640.90 is: 11,923.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,714.90 : 21,684.78 = 8,640.90 : x
  2. Step 2: Convert to fraction form
    15,714.90/21,684.78 = 8,640.90/x
  3. Step 3: Cross multiply
    15,714.90x = 21,684.78 × 8,640.90
  4. Step 4: Simplify right side
    15,714.90x = 187,376,015.50
  5. Step 5: Solve for x
    x = 187,376,015.50/15,714.90
  6. Step 6: Final answer
    x = 11,923.46

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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.