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Finding the Fourth Proportional to 8,923.92, 12,315.04 and 5,387.16

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Solution

The fourth proportional to 8,923.92, 12,315.04 and 5,387.16 is: 7,434.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,923.92 : 12,315.04 = 5,387.16 : x
  2. Step 2: Convert to fraction form
    8,923.92/12,315.04 = 5,387.16/x
  3. Step 3: Cross multiply
    8,923.92x = 12,315.04 × 5,387.16
  4. Step 4: Simplify right side
    8,923.92x = 66,343,054.33
  5. Step 5: Solve for x
    x = 66,343,054.33/8,923.92
  6. Step 6: Final answer
    x = 7,434.29

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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.