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Finding the Fourth Proportional to 1,541.03, 2,126.52 and 877.91

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Solution

The fourth proportional to 1,541.03, 2,126.52 and 877.91 is: 1,211.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.03 : 2,126.52 = 877.91 : x
  2. Step 2: Convert to fraction form
    1,541.03/2,126.52 = 877.91/x
  3. Step 3: Cross multiply
    1,541.03x = 2,126.52 × 877.91
  4. Step 4: Simplify right side
    1,541.03x = 1,866,882.54
  5. Step 5: Solve for x
    x = 1,866,882.54/1,541.03
  6. Step 6: Final answer
    x = 1,211.46

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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.