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Finding the Fourth Proportional to 12,444.84, 18,658 and 5,423.52

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Solution

The fourth proportional to 12,444.84, 18,658 and 5,423.52 is: 8,131.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,444.84 : 18,658 = 5,423.52 : x
  2. Step 2: Convert to fraction form
    12,444.84/18,658 = 5,423.52/x
  3. Step 3: Cross multiply
    12,444.84x = 18,658 × 5,423.52
  4. Step 4: Simplify right side
    12,444.84x = 101,192,036.16
  5. Step 5: Solve for x
    x = 101,192,036.16/12,444.84
  6. Step 6: Final answer
    x = 8,131.24

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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.