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Finding the Fourth Proportional to 8,460, 12,687.21 and 2,913.22

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Solution

The fourth proportional to 8,460, 12,687.21 and 2,913.22 is: 4,368.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,460 : 12,687.21 = 2,913.22 : x
  2. Step 2: Convert to fraction form
    8,460/12,687.21 = 2,913.22/x
  3. Step 3: Cross multiply
    8,460x = 12,687.21 × 2,913.22
  4. Step 4: Simplify right side
    8,460x = 36,960,633.92
  5. Step 5: Solve for x
    x = 36,960,633.92/8,460
  6. Step 6: Final answer
    x = 4,368.87

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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.