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Finding the Fourth Proportional to 2,972.81, 4,104.47 and 1,854.20

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Solution

The fourth proportional to 2,972.81, 4,104.47 and 1,854.20 is: 2,560.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.81 : 4,104.47 = 1,854.20 : x
  2. Step 2: Convert to fraction form
    2,972.81/4,104.47 = 1,854.20/x
  3. Step 3: Cross multiply
    2,972.81x = 4,104.47 × 1,854.20
  4. Step 4: Simplify right side
    2,972.81x = 7,610,508.27
  5. Step 5: Solve for x
    x = 7,610,508.27/2,972.81
  6. Step 6: Final answer
    x = 2,560.04

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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.