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Finding the Fourth Proportional to 12,594.56, 18,865.91 and 7,387.88

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Solution

The fourth proportional to 12,594.56, 18,865.91 and 7,387.88 is: 11,066.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,594.56 : 18,865.91 = 7,387.88 : x
  2. Step 2: Convert to fraction form
    12,594.56/18,865.91 = 7,387.88/x
  3. Step 3: Cross multiply
    12,594.56x = 18,865.91 × 7,387.88
  4. Step 4: Simplify right side
    12,594.56x = 139,378,947.90
  5. Step 5: Solve for x
    x = 139,378,947.90/12,594.56
  6. Step 6: Final answer
    x = 11,066.60

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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.