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Finding the Fourth Proportional to 10,985.40, 16,478.10 and 9,775.80

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Solution

The fourth proportional to 10,985.40, 16,478.10 and 9,775.80 is: 14,663.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,985.40 : 16,478.10 = 9,775.80 : x
  2. Step 2: Convert to fraction form
    10,985.40/16,478.10 = 9,775.80/x
  3. Step 3: Cross multiply
    10,985.40x = 16,478.10 × 9,775.80
  4. Step 4: Simplify right side
    10,985.40x = 161,086,609.98
  5. Step 5: Solve for x
    x = 161,086,609.98/10,985.40
  6. Step 6: Final answer
    x = 14,663.70

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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.