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Finding the Fourth Proportional to 1,686.74, 2,327.03 and 1,023.35

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Solution

The fourth proportional to 1,686.74, 2,327.03 and 1,023.35 is: 1,411.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.74 : 2,327.03 = 1,023.35 : x
  2. Step 2: Convert to fraction form
    1,686.74/2,327.03 = 1,023.35/x
  3. Step 3: Cross multiply
    1,686.74x = 2,327.03 × 1,023.35
  4. Step 4: Simplify right side
    1,686.74x = 2,381,366.15
  5. Step 5: Solve for x
    x = 2,381,366.15/1,686.74
  6. Step 6: Final answer
    x = 1,411.82

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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.