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Finding the Fourth Proportional to 1,541.03, 2,126.63 and 877.93

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Solution

The fourth proportional to 1,541.03, 2,126.63 and 877.93 is: 1,211.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.03 : 2,126.63 = 877.93 : x
  2. Step 2: Convert to fraction form
    1,541.03/2,126.63 = 877.93/x
  3. Step 3: Cross multiply
    1,541.03x = 2,126.63 × 877.93
  4. Step 4: Simplify right side
    1,541.03x = 1,867,032.28
  5. Step 5: Solve for x
    x = 1,867,032.28/1,541.03
  6. Step 6: Final answer
    x = 1,211.55

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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.