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Finding the Fourth Proportional to 8,969, 12,377.28 and 5,432.24

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Solution

The fourth proportional to 8,969, 12,377.28 and 5,432.24 is: 7,496.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,969 : 12,377.28 = 5,432.24 : x
  2. Step 2: Convert to fraction form
    8,969/12,377.28 = 5,432.24/x
  3. Step 3: Cross multiply
    8,969x = 12,377.28 × 5,432.24
  4. Step 4: Simplify right side
    8,969x = 67,236,355.51
  5. Step 5: Solve for x
    x = 67,236,355.51/8,969
  6. Step 6: Final answer
    x = 7,496.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.