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Finding the Fourth Proportional to 7,202.32, 9,938.64 and 4,217.76

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Solution

The fourth proportional to 7,202.32, 9,938.64 and 4,217.76 is: 5,820.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.32 : 9,938.64 = 4,217.76 : x
  2. Step 2: Convert to fraction form
    7,202.32/9,938.64 = 4,217.76/x
  3. Step 3: Cross multiply
    7,202.32x = 9,938.64 × 4,217.76
  4. Step 4: Simplify right side
    7,202.32x = 41,918,798.25
  5. Step 5: Solve for x
    x = 41,918,798.25/7,202.32
  6. Step 6: Final answer
    x = 5,820.18

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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.