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Finding the Fourth Proportional to 9,383.92, 12,931.65 and 7,142.25

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Solution

The fourth proportional to 9,383.92, 12,931.65 and 7,142.25 is: 9,842.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,383.92 : 12,931.65 = 7,142.25 : x
  2. Step 2: Convert to fraction form
    9,383.92/12,931.65 = 7,142.25/x
  3. Step 3: Cross multiply
    9,383.92x = 12,931.65 × 7,142.25
  4. Step 4: Simplify right side
    9,383.92x = 92,361,077.21
  5. Step 5: Solve for x
    x = 92,361,077.21/9,383.92
  6. Step 6: Final answer
    x = 9,842.48

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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.