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Finding the Fourth Proportional to 1,988.96, 2,743.88 and 1,325.16

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Solution

The fourth proportional to 1,988.96, 2,743.88 and 1,325.16 is: 1,828.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.96 : 2,743.88 = 1,325.16 : x
  2. Step 2: Convert to fraction form
    1,988.96/2,743.88 = 1,325.16/x
  3. Step 3: Cross multiply
    1,988.96x = 2,743.88 × 1,325.16
  4. Step 4: Simplify right side
    1,988.96x = 3,636,073.40
  5. Step 5: Solve for x
    x = 3,636,073.40/1,988.96
  6. Step 6: Final answer
    x = 1,828.13

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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.