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Finding the Fourth Proportional to 5,865.60, 8,797.86 and 1,970.04

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Solution

The fourth proportional to 5,865.60, 8,797.86 and 1,970.04 is: 2,954.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,865.60 : 8,797.86 = 1,970.04 : x
  2. Step 2: Convert to fraction form
    5,865.60/8,797.86 = 1,970.04/x
  3. Step 3: Cross multiply
    5,865.60x = 8,797.86 × 1,970.04
  4. Step 4: Simplify right side
    5,865.60x = 17,332,136.11
  5. Step 5: Solve for x
    x = 17,332,136.11/5,865.60
  6. Step 6: Final answer
    x = 2,954.88

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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.