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Finding the Fourth Proportional to 2,040.70, 3,061.44 and 870.68

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Solution

The fourth proportional to 2,040.70, 3,061.44 and 870.68 is: 1,306.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040.70 : 3,061.44 = 870.68 : x
  2. Step 2: Convert to fraction form
    2,040.70/3,061.44 = 870.68/x
  3. Step 3: Cross multiply
    2,040.70x = 3,061.44 × 870.68
  4. Step 4: Simplify right side
    2,040.70x = 2,665,534.58
  5. Step 5: Solve for x
    x = 2,665,534.58/2,040.70
  6. Step 6: Final answer
    x = 1,306.19

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1.5x scale

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.