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Finding the Fourth Proportional to 12,654.40, 18,959.28 and 7,712.32

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Solution

The fourth proportional to 12,654.40, 18,959.28 and 7,712.32 is: 11,554.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,654.40 : 18,959.28 = 7,712.32 : x
  2. Step 2: Convert to fraction form
    12,654.40/18,959.28 = 7,712.32/x
  3. Step 3: Cross multiply
    12,654.40x = 18,959.28 × 7,712.32
  4. Step 4: Simplify right side
    12,654.40x = 146,220,034.33
  5. Step 5: Solve for x
    x = 146,220,034.33/12,654.40
  6. Step 6: Final answer
    x = 11,554.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.