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Finding the Fourth Proportional to 2,387.04, 3,564 and 2,239.41

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Solution

The fourth proportional to 2,387.04, 3,564 and 2,239.41 is: 3,343.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.04 : 3,564 = 2,239.41 : x
  2. Step 2: Convert to fraction form
    2,387.04/3,564 = 2,239.41/x
  3. Step 3: Cross multiply
    2,387.04x = 3,564 × 2,239.41
  4. Step 4: Simplify right side
    2,387.04x = 7,981,270.61
  5. Step 5: Solve for x
    x = 7,981,270.61/2,387.04
  6. Step 6: Final answer
    x = 3,343.59

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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.