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Finding the Fourth Proportional to 3,002.70, 4,497.12 and 2,898.90

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Solution

The fourth proportional to 3,002.70, 4,497.12 and 2,898.90 is: 4,341.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.70 : 4,497.12 = 2,898.90 : x
  2. Step 2: Convert to fraction form
    3,002.70/4,497.12 = 2,898.90/x
  3. Step 3: Cross multiply
    3,002.70x = 4,497.12 × 2,898.90
  4. Step 4: Simplify right side
    3,002.70x = 13,036,701.17
  5. Step 5: Solve for x
    x = 13,036,701.17/3,002.70
  6. Step 6: Final answer
    x = 4,341.66

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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.