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Finding the Fourth Proportional to 2,002.40, 2,762.40 and 1,206

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Solution

The fourth proportional to 2,002.40, 2,762.40 and 1,206 is: 1,663.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.40 : 2,762.40 = 1,206 : x
  2. Step 2: Convert to fraction form
    2,002.40/2,762.40 = 1,206/x
  3. Step 3: Cross multiply
    2,002.40x = 2,762.40 × 1,206
  4. Step 4: Simplify right side
    2,002.40x = 3,331,454.40
  5. Step 5: Solve for x
    x = 3,331,454.40/2,002.40
  6. Step 6: Final answer
    x = 1,663.73

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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.