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Finding the Fourth Proportional to 2,921.90, 4,381.17 and 974.06

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Solution

The fourth proportional to 2,921.90, 4,381.17 and 974.06 is: 1,460.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,921.90 : 4,381.17 = 974.06 : x
  2. Step 2: Convert to fraction form
    2,921.90/4,381.17 = 974.06/x
  3. Step 3: Cross multiply
    2,921.90x = 4,381.17 × 974.06
  4. Step 4: Simplify right side
    2,921.90x = 4,267,522.45
  5. Step 5: Solve for x
    x = 4,267,522.45/2,921.90
  6. Step 6: Final answer
    x = 1,460.53

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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.