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Finding the Fourth Proportional to 1,532.76, 2,287.28 and 1,368.68

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Solution

The fourth proportional to 1,532.76, 2,287.28 and 1,368.68 is: 2,042.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.76 : 2,287.28 = 1,368.68 : x
  2. Step 2: Convert to fraction form
    1,532.76/2,287.28 = 1,368.68/x
  3. Step 3: Cross multiply
    1,532.76x = 2,287.28 × 1,368.68
  4. Step 4: Simplify right side
    1,532.76x = 3,130,554.39
  5. Step 5: Solve for x
    x = 3,130,554.39/1,532.76
  6. Step 6: Final answer
    x = 2,042.43

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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.