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Finding the Fourth Proportional to 1,788.40, 2,694.80 and 1,470.88

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Solution

The fourth proportional to 1,788.40, 2,694.80 and 1,470.88 is: 2,216.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.40 : 2,694.80 = 1,470.88 : x
  2. Step 2: Convert to fraction form
    1,788.40/2,694.80 = 1,470.88/x
  3. Step 3: Cross multiply
    1,788.40x = 2,694.80 × 1,470.88
  4. Step 4: Simplify right side
    1,788.40x = 3,963,727.42
  5. Step 5: Solve for x
    x = 3,963,727.42/1,788.40
  6. Step 6: Final answer
    x = 2,216.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.