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Finding the Fourth Proportional to 2,002, 2,762.88 and 1,117.90

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Solution

The fourth proportional to 2,002, 2,762.88 and 1,117.90 is: 1,542.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002 : 2,762.88 = 1,117.90 : x
  2. Step 2: Convert to fraction form
    2,002/2,762.88 = 1,117.90/x
  3. Step 3: Cross multiply
    2,002x = 2,762.88 × 1,117.90
  4. Step 4: Simplify right side
    2,002x = 3,088,623.55
  5. Step 5: Solve for x
    x = 3,088,623.55/2,002
  6. Step 6: Final answer
    x = 1,542.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.