Home / 1,586.32-2,380.38-1,038.76

Finding the Fourth Proportional to 1,586.32, 2,380.38 and 1,038.76

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Solution

The fourth proportional to 1,586.32, 2,380.38 and 1,038.76 is: 1,558.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.32 : 2,380.38 = 1,038.76 : x
  2. Step 2: Convert to fraction form
    1,586.32/2,380.38 = 1,038.76/x
  3. Step 3: Cross multiply
    1,586.32x = 2,380.38 × 1,038.76
  4. Step 4: Simplify right side
    1,586.32x = 2,472,643.53
  5. Step 5: Solve for x
    x = 2,472,643.53/1,586.32
  6. Step 6: Final answer
    x = 1,558.73

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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.