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Finding the Fourth Proportional to 2,868.39, 4,301.80 and 787.90

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Solution

The fourth proportional to 2,868.39, 4,301.80 and 787.90 is: 1,181.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,868.39 : 4,301.80 = 787.90 : x
  2. Step 2: Convert to fraction form
    2,868.39/4,301.80 = 787.90/x
  3. Step 3: Cross multiply
    2,868.39x = 4,301.80 × 787.90
  4. Step 4: Simplify right side
    2,868.39x = 3,389,402.60
  5. Step 5: Solve for x
    x = 3,389,402.60/2,868.39
  6. Step 6: Final answer
    x = 1,181.64

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1.5x scale

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.