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Finding the Fourth Proportional to 8,658.78, 12,988.14 and 2,084.94

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Solution

The fourth proportional to 8,658.78, 12,988.14 and 2,084.94 is: 3,127.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,658.78 : 12,988.14 = 2,084.94 : x
  2. Step 2: Convert to fraction form
    8,658.78/12,988.14 = 2,084.94/x
  3. Step 3: Cross multiply
    8,658.78x = 12,988.14 × 2,084.94
  4. Step 4: Simplify right side
    8,658.78x = 27,079,492.61
  5. Step 5: Solve for x
    x = 27,079,492.61/8,658.78
  6. Step 6: Final answer
    x = 3,127.40

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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.