Home / 1,686.32-2,327.06-1,023.02

Finding the Fourth Proportional to 1,686.32, 2,327.06 and 1,023.02

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Solution

The fourth proportional to 1,686.32, 2,327.06 and 1,023.02 is: 1,411.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.32 : 2,327.06 = 1,023.02 : x
  2. Step 2: Convert to fraction form
    1,686.32/2,327.06 = 1,023.02/x
  3. Step 3: Cross multiply
    1,686.32x = 2,327.06 × 1,023.02
  4. Step 4: Simplify right side
    1,686.32x = 2,380,628.92
  5. Step 5: Solve for x
    x = 2,380,628.92/1,686.32
  6. Step 6: Final answer
    x = 1,411.73

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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.