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Finding the Fourth Proportional to 11,474.64, 15,823.56 and 7,285.20

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Solution

The fourth proportional to 11,474.64, 15,823.56 and 7,285.20 is: 10,046.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,474.64 : 15,823.56 = 7,285.20 : x
  2. Step 2: Convert to fraction form
    11,474.64/15,823.56 = 7,285.20/x
  3. Step 3: Cross multiply
    11,474.64x = 15,823.56 × 7,285.20
  4. Step 4: Simplify right side
    11,474.64x = 115,277,799.31
  5. Step 5: Solve for x
    x = 115,277,799.31/11,474.64
  6. Step 6: Final answer
    x = 10,046.31

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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.