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Finding the Fourth Proportional to 2,470.00, 3,409.84 and 1,909.20

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Solution

The fourth proportional to 2,470.00, 3,409.84 and 1,909.20 is: 2,635.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.00 : 3,409.84 = 1,909.20 : x
  2. Step 2: Convert to fraction form
    2,470.00/3,409.84 = 1,909.20/x
  3. Step 3: Cross multiply
    2,470.00x = 3,409.84 × 1,909.20
  4. Step 4: Simplify right side
    2,470.00x = 6,510,071.73
  5. Step 5: Solve for x
    x = 6,510,071.73/2,470.00
  6. Step 6: Final answer
    x = 2,635.66

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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.