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Finding the Fourth Proportional to 8,461.85, 12,632.20 and 7,354.98

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Solution

The fourth proportional to 8,461.85, 12,632.20 and 7,354.98 is: 10,979.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.85 : 12,632.20 = 7,354.98 : x
  2. Step 2: Convert to fraction form
    8,461.85/12,632.20 = 7,354.98/x
  3. Step 3: Cross multiply
    8,461.85x = 12,632.20 × 7,354.98
  4. Step 4: Simplify right side
    8,461.85x = 92,909,578.36
  5. Step 5: Solve for x
    x = 92,909,578.36/8,461.85
  6. Step 6: Final answer
    x = 10,979.82

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.