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Finding the Fourth Proportional to 7,224.66, 9,971.10 and 4,242.15

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Solution

The fourth proportional to 7,224.66, 9,971.10 and 4,242.15 is: 5,854.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224.66 : 9,971.10 = 4,242.15 : x
  2. Step 2: Convert to fraction form
    7,224.66/9,971.10 = 4,242.15/x
  3. Step 3: Cross multiply
    7,224.66x = 9,971.10 × 4,242.15
  4. Step 4: Simplify right side
    7,224.66x = 42,298,901.87
  5. Step 5: Solve for x
    x = 42,298,901.87/7,224.66
  6. Step 6: Final answer
    x = 5,854.79

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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.