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Finding the Fourth Proportional to 12,654.24, 18,988.08 and 8,484

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Solution

The fourth proportional to 12,654.24, 18,988.08 and 8,484 is: 12,730.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,654.24 : 18,988.08 = 8,484 : x
  2. Step 2: Convert to fraction form
    12,654.24/18,988.08 = 8,484/x
  3. Step 3: Cross multiply
    12,654.24x = 18,988.08 × 8,484
  4. Step 4: Simplify right side
    12,654.24x = 161,094,870.72
  5. Step 5: Solve for x
    x = 161,094,870.72/12,654.24
  6. Step 6: Final answer
    x = 12,730.51

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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.