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Finding the Fourth Proportional to 11,332.40, 16,982.40 and 8,347.55

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Solution

The fourth proportional to 11,332.40, 16,982.40 and 8,347.55 is: 12,509.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,332.40 : 16,982.40 = 8,347.55 : x
  2. Step 2: Convert to fraction form
    11,332.40/16,982.40 = 8,347.55/x
  3. Step 3: Cross multiply
    11,332.40x = 16,982.40 × 8,347.55
  4. Step 4: Simplify right side
    11,332.40x = 141,761,433.12
  5. Step 5: Solve for x
    x = 141,761,433.12/11,332.40
  6. Step 6: Final answer
    x = 12,509.39

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1.5x scale

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.