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Finding the Fourth Proportional to 12,452, 18,681.72 and 5,055.04

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Solution

The fourth proportional to 12,452, 18,681.72 and 5,055.04 is: 7,584.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,452 : 18,681.72 = 5,055.04 : x
  2. Step 2: Convert to fraction form
    12,452/18,681.72 = 5,055.04/x
  3. Step 3: Cross multiply
    12,452x = 18,681.72 × 5,055.04
  4. Step 4: Simplify right side
    12,452x = 94,436,841.87
  5. Step 5: Solve for x
    x = 94,436,841.87/12,452
  6. Step 6: Final answer
    x = 7,584.07

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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.