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Finding the Fourth Proportional to 2,971.66, 4,458.18 and 997.55

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Solution

The fourth proportional to 2,971.66, 4,458.18 and 997.55 is: 1,496.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.66 : 4,458.18 = 997.55 : x
  2. Step 2: Convert to fraction form
    2,971.66/4,458.18 = 997.55/x
  3. Step 3: Cross multiply
    2,971.66x = 4,458.18 × 997.55
  4. Step 4: Simplify right side
    2,971.66x = 4,447,267.42
  5. Step 5: Solve for x
    x = 4,447,267.42/2,971.66
  6. Step 6: Final answer
    x = 1,496.56

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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.