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Finding the Fourth Proportional to 12,355, 18,534.42 and 4,148.92

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Solution

The fourth proportional to 12,355, 18,534.42 and 4,148.92 is: 6,224.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,355 : 18,534.42 = 4,148.92 : x
  2. Step 2: Convert to fraction form
    12,355/18,534.42 = 4,148.92/x
  3. Step 3: Cross multiply
    12,355x = 18,534.42 × 4,148.92
  4. Step 4: Simplify right side
    12,355x = 76,897,825.83
  5. Step 5: Solve for x
    x = 76,897,825.83/12,355
  6. Step 6: Final answer
    x = 6,224.02

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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.