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Finding the Fourth Proportional to 6,663.87, 9,971.13 and 5,343.59

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Solution

The fourth proportional to 6,663.87, 9,971.13 and 5,343.59 is: 7,995.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,663.87 : 9,971.13 = 5,343.59 : x
  2. Step 2: Convert to fraction form
    6,663.87/9,971.13 = 5,343.59/x
  3. Step 3: Cross multiply
    6,663.87x = 9,971.13 × 5,343.59
  4. Step 4: Simplify right side
    6,663.87x = 53,281,580.70
  5. Step 5: Solve for x
    x = 53,281,580.70/6,663.87
  6. Step 6: Final answer
    x = 7,995.59

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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.