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Finding the Fourth Proportional to 6,666.22, 9,983.76 and 5,270.18

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Solution

The fourth proportional to 6,666.22, 9,983.76 and 5,270.18 is: 7,892.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,666.22 : 9,983.76 = 5,270.18 : x
  2. Step 2: Convert to fraction form
    6,666.22/9,983.76 = 5,270.18/x
  3. Step 3: Cross multiply
    6,666.22x = 9,983.76 × 5,270.18
  4. Step 4: Simplify right side
    6,666.22x = 52,616,212.28
  5. Step 5: Solve for x
    x = 52,616,212.28/6,666.22
  6. Step 6: Final answer
    x = 7,892.96

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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.