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Finding the Fourth Proportional to 2,870.96, 4,304.00 and 1,553.90

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Solution

The fourth proportional to 2,870.96, 4,304.00 and 1,553.90 is: 2,329.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.96 : 4,304.00 = 1,553.90 : x
  2. Step 2: Convert to fraction form
    2,870.96/4,304.00 = 1,553.90/x
  3. Step 3: Cross multiply
    2,870.96x = 4,304.00 × 1,553.90
  4. Step 4: Simplify right side
    2,870.96x = 6,687,967.96
  5. Step 5: Solve for x
    x = 6,687,967.96/2,870.96
  6. Step 6: Final answer
    x = 2,329.53

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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.