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Finding the Fourth Proportional to 2,320.47, 3,480.71 and 860.04

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Solution

The fourth proportional to 2,320.47, 3,480.71 and 860.04 is: 1,290.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,320.47 : 3,480.71 = 860.04 : x
  2. Step 2: Convert to fraction form
    2,320.47/3,480.71 = 860.04/x
  3. Step 3: Cross multiply
    2,320.47x = 3,480.71 × 860.04
  4. Step 4: Simplify right side
    2,320.47x = 2,993,545.53
  5. Step 5: Solve for x
    x = 2,993,545.53/2,320.47
  6. Step 6: Final answer
    x = 1,290.06

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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.