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Finding the Fourth Proportional to 1,729.56, 2,590.90 and 1,587.81

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Solution

The fourth proportional to 1,729.56, 2,590.90 and 1,587.81 is: 2,378.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.56 : 2,590.90 = 1,587.81 : x
  2. Step 2: Convert to fraction form
    1,729.56/2,590.90 = 1,587.81/x
  3. Step 3: Cross multiply
    1,729.56x = 2,590.90 × 1,587.81
  4. Step 4: Simplify right side
    1,729.56x = 4,113,871.61
  5. Step 5: Solve for x
    x = 4,113,871.61/1,729.56
  6. Step 6: Final answer
    x = 2,378.56

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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.