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Finding the Fourth Proportional to 10,902.80, 16,349.65 and 5,971.12

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Solution

The fourth proportional to 10,902.80, 16,349.65 and 5,971.12 is: 8,954.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.80 : 16,349.65 = 5,971.12 : x
  2. Step 2: Convert to fraction form
    10,902.80/16,349.65 = 5,971.12/x
  3. Step 3: Cross multiply
    10,902.80x = 16,349.65 × 5,971.12
  4. Step 4: Simplify right side
    10,902.80x = 97,625,666.31
  5. Step 5: Solve for x
    x = 97,625,666.31/10,902.80
  6. Step 6: Final answer
    x = 8,954.18

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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.