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Finding the Fourth Proportional to 8,274.50, 12,411.76 and 7,859.24

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Solution

The fourth proportional to 8,274.50, 12,411.76 and 7,859.24 is: 11,788.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.50 : 12,411.76 = 7,859.24 : x
  2. Step 2: Convert to fraction form
    8,274.50/12,411.76 = 7,859.24/x
  3. Step 3: Cross multiply
    8,274.50x = 12,411.76 × 7,859.24
  4. Step 4: Simplify right side
    8,274.50x = 97,547,000.66
  5. Step 5: Solve for x
    x = 97,547,000.66/8,274.50
  6. Step 6: Final answer
    x = 11,788.87

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.