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Finding the Fourth Proportional to 9,402.86, 12,946.40 and 7,983.74

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Solution

The fourth proportional to 9,402.86, 12,946.40 and 7,983.74 is: 10,992.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.86 : 12,946.40 = 7,983.74 : x
  2. Step 2: Convert to fraction form
    9,402.86/12,946.40 = 7,983.74/x
  3. Step 3: Cross multiply
    9,402.86x = 12,946.40 × 7,983.74
  4. Step 4: Simplify right side
    9,402.86x = 103,360,691.54
  5. Step 5: Solve for x
    x = 103,360,691.54/9,402.86
  6. Step 6: Final answer
    x = 10,992.47

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Double scale
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Similar ratio
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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.