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Finding the Fourth Proportional to 12,457.76, 18,658.68 and 9,676

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Solution

The fourth proportional to 12,457.76, 18,658.68 and 9,676 is: 14,492.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,457.76 : 18,658.68 = 9,676 : x
  2. Step 2: Convert to fraction form
    12,457.76/18,658.68 = 9,676/x
  3. Step 3: Cross multiply
    12,457.76x = 18,658.68 × 9,676
  4. Step 4: Simplify right side
    12,457.76x = 180,541,387.68
  5. Step 5: Solve for x
    x = 180,541,387.68/12,457.76
  6. Step 6: Final answer
    x = 14,492.28

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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.