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Finding the Fourth Proportional to 12,455.76, 18,655.68 and 9,674

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Solution

The fourth proportional to 12,455.76, 18,655.68 and 9,674 is: 14,489.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,455.76 : 18,655.68 = 9,674 : x
  2. Step 2: Convert to fraction form
    12,455.76/18,655.68 = 9,674/x
  3. Step 3: Cross multiply
    12,455.76x = 18,655.68 × 9,674
  4. Step 4: Simplify right side
    12,455.76x = 180,475,048.32
  5. Step 5: Solve for x
    x = 180,475,048.32/12,455.76
  6. Step 6: Final answer
    x = 14,489.28

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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.