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Finding the Fourth Proportional to 10,461.80, 15,678.12 and 7,861.70

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Solution

The fourth proportional to 10,461.80, 15,678.12 and 7,861.70 is: 11,781.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461.80 : 15,678.12 = 7,861.70 : x
  2. Step 2: Convert to fraction form
    10,461.80/15,678.12 = 7,861.70/x
  3. Step 3: Cross multiply
    10,461.80x = 15,678.12 × 7,861.70
  4. Step 4: Simplify right side
    10,461.80x = 123,256,676.00
  5. Step 5: Solve for x
    x = 123,256,676.00/10,461.80
  6. Step 6: Final answer
    x = 11,781.59

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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.