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Finding the Fourth Proportional to 1,652.41, 2,477.51 and 871.59

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Solution

The fourth proportional to 1,652.41, 2,477.51 and 871.59 is: 1,306.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.41 : 2,477.51 = 871.59 : x
  2. Step 2: Convert to fraction form
    1,652.41/2,477.51 = 871.59/x
  3. Step 3: Cross multiply
    1,652.41x = 2,477.51 × 871.59
  4. Step 4: Simplify right side
    1,652.41x = 2,159,367.21
  5. Step 5: Solve for x
    x = 2,159,367.21/1,652.41
  6. Step 6: Final answer
    x = 1,306.80

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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.