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Finding the Fourth Proportional to 1,988.32, 2,976.72 and 1,302.88

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Solution

The fourth proportional to 1,988.32, 2,976.72 and 1,302.88 is: 1,950.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.32 : 2,976.72 = 1,302.88 : x
  2. Step 2: Convert to fraction form
    1,988.32/2,976.72 = 1,302.88/x
  3. Step 3: Cross multiply
    1,988.32x = 2,976.72 × 1,302.88
  4. Step 4: Simplify right side
    1,988.32x = 3,878,308.95
  5. Step 5: Solve for x
    x = 3,878,308.95/1,988.32
  6. Step 6: Final answer
    x = 1,950.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.