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Finding the Fourth Proportional to 1,788.80, 2,686.40 and 1,302.40

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Solution

The fourth proportional to 1,788.80, 2,686.40 and 1,302.40 is: 1,955.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.80 : 2,686.40 = 1,302.40 : x
  2. Step 2: Convert to fraction form
    1,788.80/2,686.40 = 1,302.40/x
  3. Step 3: Cross multiply
    1,788.80x = 2,686.40 × 1,302.40
  4. Step 4: Simplify right side
    1,788.80x = 3,498,767.36
  5. Step 5: Solve for x
    x = 3,498,767.36/1,788.80
  6. Step 6: Final answer
    x = 1,955.93

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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.