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Finding the Fourth Proportional to 8,970, 12,378.66 and 5,433.24

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Solution

The fourth proportional to 8,970, 12,378.66 and 5,433.24 is: 7,497.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,970 : 12,378.66 = 5,433.24 : x
  2. Step 2: Convert to fraction form
    8,970/12,378.66 = 5,433.24/x
  3. Step 3: Cross multiply
    8,970x = 12,378.66 × 5,433.24
  4. Step 4: Simplify right side
    8,970x = 67,256,230.66
  5. Step 5: Solve for x
    x = 67,256,230.66/8,970
  6. Step 6: Final answer
    x = 7,497.91

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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.