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Finding the Fourth Proportional to 1,541.32, 2,127.02 and 878.20

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Solution

The fourth proportional to 1,541.32, 2,127.02 and 878.20 is: 1,211.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.32 : 2,127.02 = 878.20 : x
  2. Step 2: Convert to fraction form
    1,541.32/2,127.02 = 878.20/x
  3. Step 3: Cross multiply
    1,541.32x = 2,127.02 × 878.20
  4. Step 4: Simplify right side
    1,541.32x = 1,867,948.96
  5. Step 5: Solve for x
    x = 1,867,948.96/1,541.32
  6. Step 6: Final answer
    x = 1,211.92

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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.