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Finding the Fourth Proportional to 1,988.71, 2,968.75 and 1,844.53

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Solution

The fourth proportional to 1,988.71, 2,968.75 and 1,844.53 is: 2,753.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.71 : 2,968.75 = 1,844.53 : x
  2. Step 2: Convert to fraction form
    1,988.71/2,968.75 = 1,844.53/x
  3. Step 3: Cross multiply
    1,988.71x = 2,968.75 × 1,844.53
  4. Step 4: Simplify right side
    1,988.71x = 5,475,943.32
  5. Step 5: Solve for x
    x = 5,475,943.32/1,988.71
  6. Step 6: Final answer
    x = 2,753.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.