Home / 1,539.15-2,123.91-840.53

Finding the Fourth Proportional to 1,539.15, 2,123.91 and 840.53

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Solution

The fourth proportional to 1,539.15, 2,123.91 and 840.53 is: 1,159.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.15 : 2,123.91 = 840.53 : x
  2. Step 2: Convert to fraction form
    1,539.15/2,123.91 = 840.53/x
  3. Step 3: Cross multiply
    1,539.15x = 2,123.91 × 840.53
  4. Step 4: Simplify right side
    1,539.15x = 1,785,199.45
  5. Step 5: Solve for x
    x = 1,785,199.45/1,539.15
  6. Step 6: Final answer
    x = 1,159.86

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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.