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Finding the Fourth Proportional to 21,714.40, 29,964.24 and 14,650.40

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Solution

The fourth proportional to 21,714.40, 29,964.24 and 14,650.40 is: 20,216.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,714.40 : 29,964.24 = 14,650.40 : x
  2. Step 2: Convert to fraction form
    21,714.40/29,964.24 = 14,650.40/x
  3. Step 3: Cross multiply
    21,714.40x = 29,964.24 × 14,650.40
  4. Step 4: Simplify right side
    21,714.40x = 438,988,101.70
  5. Step 5: Solve for x
    x = 438,988,101.70/21,714.40
  6. Step 6: Final answer
    x = 20,216.45

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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.