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Finding the Fourth Proportional to 12,584,266.40, 18,881,065.20 and 5,016,663.20

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Solution

The fourth proportional to 12,584,266.40, 18,881,065.20 and 5,016,663.20 is: 7,526,854.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584,266.40 : 18,881,065.20 = 5,016,663.20 : x
  2. Step 2: Convert to fraction form
    12,584,266.40/18,881,065.20 = 5,016,663.20/x
  3. Step 3: Cross multiply
    12,584,266.40x = 18,881,065.20 × 5,016,663.20
  4. Step 4: Simplify right side
    12,584,266.40x = 94,719,944,965,640.64
  5. Step 5: Solve for x
    x = 94,719,944,965,640.64/12,584,266.40
  6. Step 6: Final answer
    x = 7,526,854.72

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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.