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Finding the Fourth Proportional to 1,541.53, 2,126.97 and 981.81

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Solution

The fourth proportional to 1,541.53, 2,126.97 and 981.81 is: 1,354.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.53 : 2,126.97 = 981.81 : x
  2. Step 2: Convert to fraction form
    1,541.53/2,126.97 = 981.81/x
  3. Step 3: Cross multiply
    1,541.53x = 2,126.97 × 981.81
  4. Step 4: Simplify right side
    1,541.53x = 2,088,280.42
  5. Step 5: Solve for x
    x = 2,088,280.42/1,541.53
  6. Step 6: Final answer
    x = 1,354.68

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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.