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Finding the Fourth Proportional to 2,865.87, 4,300.45 and 1,549.64

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Solution

The fourth proportional to 2,865.87, 4,300.45 and 1,549.64 is: 2,325.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.87 : 4,300.45 = 1,549.64 : x
  2. Step 2: Convert to fraction form
    2,865.87/4,300.45 = 1,549.64/x
  3. Step 3: Cross multiply
    2,865.87x = 4,300.45 × 1,549.64
  4. Step 4: Simplify right side
    2,865.87x = 6,664,156.22
  5. Step 5: Solve for x
    x = 6,664,156.22/2,865.87
  6. Step 6: Final answer
    x = 2,325.35

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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.