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Finding the Fourth Proportional to 11,429.76, 15,773.12 and 6,714.08

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Solution

The fourth proportional to 11,429.76, 15,773.12 and 6,714.08 is: 9,265.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,429.76 : 15,773.12 = 6,714.08 : x
  2. Step 2: Convert to fraction form
    11,429.76/15,773.12 = 6,714.08/x
  3. Step 3: Cross multiply
    11,429.76x = 15,773.12 × 6,714.08
  4. Step 4: Simplify right side
    11,429.76x = 105,901,989.53
  5. Step 5: Solve for x
    x = 105,901,989.53/11,429.76
  6. Step 6: Final answer
    x = 9,265.46

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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.