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Finding the Fourth Proportional to 2,971.38, 4,458.06 and 997.20

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Solution

The fourth proportional to 2,971.38, 4,458.06 and 997.20 is: 1,496.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.38 : 4,458.06 = 997.20 : x
  2. Step 2: Convert to fraction form
    2,971.38/4,458.06 = 997.20/x
  3. Step 3: Cross multiply
    2,971.38x = 4,458.06 × 997.20
  4. Step 4: Simplify right side
    2,971.38x = 4,445,577.43
  5. Step 5: Solve for x
    x = 4,445,577.43/2,971.38
  6. Step 6: Final answer
    x = 1,496.13

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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.