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Finding the Fourth Proportional to 12,555.76, 18,839.76 and 5,162.44

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Solution

The fourth proportional to 12,555.76, 18,839.76 and 5,162.44 is: 7,746.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,555.76 : 18,839.76 = 5,162.44 : x
  2. Step 2: Convert to fraction form
    12,555.76/18,839.76 = 5,162.44/x
  3. Step 3: Cross multiply
    12,555.76x = 18,839.76 × 5,162.44
  4. Step 4: Simplify right side
    12,555.76x = 97,259,130.61
  5. Step 5: Solve for x
    x = 97,259,130.61/12,555.76
  6. Step 6: Final answer
    x = 7,746.18

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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.