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Finding the Fourth Proportional to 8,923.16, 12,314.16 and 5,385.68

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Solution

The fourth proportional to 8,923.16, 12,314.16 and 5,385.68 is: 7,432.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,923.16 : 12,314.16 = 5,385.68 : x
  2. Step 2: Convert to fraction form
    8,923.16/12,314.16 = 5,385.68/x
  3. Step 3: Cross multiply
    8,923.16x = 12,314.16 × 5,385.68
  4. Step 4: Simplify right side
    8,923.16x = 66,320,125.23
  5. Step 5: Solve for x
    x = 66,320,125.23/8,923.16
  6. Step 6: Final answer
    x = 7,432.36

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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.