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Finding the Fourth Proportional to 11,363.96, 15,678.20 and 6,581.30

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Solution

The fourth proportional to 11,363.96, 15,678.20 and 6,581.30 is: 9,079.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,363.96 : 15,678.20 = 6,581.30 : x
  2. Step 2: Convert to fraction form
    11,363.96/15,678.20 = 6,581.30/x
  3. Step 3: Cross multiply
    11,363.96x = 15,678.20 × 6,581.30
  4. Step 4: Simplify right side
    11,363.96x = 103,182,937.66
  5. Step 5: Solve for x
    x = 103,182,937.66/11,363.96
  6. Step 6: Final answer
    x = 9,079.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.