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Finding the Fourth Proportional to 8,962.16, 12,332.34 and 8,123.81

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Solution

The fourth proportional to 8,962.16, 12,332.34 and 8,123.81 is: 11,178.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,962.16 : 12,332.34 = 8,123.81 : x
  2. Step 2: Convert to fraction form
    8,962.16/12,332.34 = 8,123.81/x
  3. Step 3: Cross multiply
    8,962.16x = 12,332.34 × 8,123.81
  4. Step 4: Simplify right side
    8,962.16x = 100,185,587.02
  5. Step 5: Solve for x
    x = 100,185,587.02/8,962.16
  6. Step 6: Final answer
    x = 11,178.73

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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.