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Finding the Fourth Proportional to 2,868.60, 4,302.90 and 2,407.80

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Solution

The fourth proportional to 2,868.60, 4,302.90 and 2,407.80 is: 3,611.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,868.60 : 4,302.90 = 2,407.80 : x
  2. Step 2: Convert to fraction form
    2,868.60/4,302.90 = 2,407.80/x
  3. Step 3: Cross multiply
    2,868.60x = 4,302.90 × 2,407.80
  4. Step 4: Simplify right side
    2,868.60x = 10,360,522.62
  5. Step 5: Solve for x
    x = 10,360,522.62/2,868.60
  6. Step 6: Final answer
    x = 3,611.70

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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.