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Finding the Fourth Proportional to 1,862.96, 2,571 and 1,551.92

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Solution

The fourth proportional to 1,862.96, 2,571 and 1,551.92 is: 2,141.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.96 : 2,571 = 1,551.92 : x
  2. Step 2: Convert to fraction form
    1,862.96/2,571 = 1,551.92/x
  3. Step 3: Cross multiply
    1,862.96x = 2,571 × 1,551.92
  4. Step 4: Simplify right side
    1,862.96x = 3,989,986.32
  5. Step 5: Solve for x
    x = 3,989,986.32/1,862.96
  6. Step 6: Final answer
    x = 2,141.75

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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.