Home / 1,539.14-2,123.94-840.50

Finding the Fourth Proportional to 1,539.14, 2,123.94 and 840.50

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Solution

The fourth proportional to 1,539.14, 2,123.94 and 840.50 is: 1,159.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.14 : 2,123.94 = 840.50 : x
  2. Step 2: Convert to fraction form
    1,539.14/2,123.94 = 840.50/x
  3. Step 3: Cross multiply
    1,539.14x = 2,123.94 × 840.50
  4. Step 4: Simplify right side
    1,539.14x = 1,785,171.57
  5. Step 5: Solve for x
    x = 1,785,171.57/1,539.14
  6. Step 6: Final answer
    x = 1,159.85

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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.