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Finding the Fourth Proportional to 12,354.58, 18,510 and 10,262.35

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Solution

The fourth proportional to 12,354.58, 18,510 and 10,262.35 is: 15,375.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,354.58 : 18,510 = 10,262.35 : x
  2. Step 2: Convert to fraction form
    12,354.58/18,510 = 10,262.35/x
  3. Step 3: Cross multiply
    12,354.58x = 18,510 × 10,262.35
  4. Step 4: Simplify right side
    12,354.58x = 189,956,098.50
  5. Step 5: Solve for x
    x = 189,956,098.50/12,354.58
  6. Step 6: Final answer
    x = 15,375.36

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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.