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Finding the Fourth Proportional to 1,871.56, 2,805.90 and 1,549

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Solution

The fourth proportional to 1,871.56, 2,805.90 and 1,549 is: 2,322.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.56 : 2,805.90 = 1,549 : x
  2. Step 2: Convert to fraction form
    1,871.56/2,805.90 = 1,549/x
  3. Step 3: Cross multiply
    1,871.56x = 2,805.90 × 1,549
  4. Step 4: Simplify right side
    1,871.56x = 4,346,339.10
  5. Step 5: Solve for x
    x = 4,346,339.10/1,871.56
  6. Step 6: Final answer
    x = 2,322.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.