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Finding the Fourth Proportional to 2,865.68, 4,289.86 and 2,591.90

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Solution

The fourth proportional to 2,865.68, 4,289.86 and 2,591.90 is: 3,880.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.68 : 4,289.86 = 2,591.90 : x
  2. Step 2: Convert to fraction form
    2,865.68/4,289.86 = 2,591.90/x
  3. Step 3: Cross multiply
    2,865.68x = 4,289.86 × 2,591.90
  4. Step 4: Simplify right side
    2,865.68x = 11,118,888.13
  5. Step 5: Solve for x
    x = 11,118,888.13/2,865.68
  6. Step 6: Final answer
    x = 3,880.02

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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.