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Finding the Fourth Proportional to 2,378.71, 3,567.70 and 818.47

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Solution

The fourth proportional to 2,378.71, 3,567.70 and 818.47 is: 1,227.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.71 : 3,567.70 = 818.47 : x
  2. Step 2: Convert to fraction form
    2,378.71/3,567.70 = 818.47/x
  3. Step 3: Cross multiply
    2,378.71x = 3,567.70 × 818.47
  4. Step 4: Simplify right side
    2,378.71x = 2,920,047.52
  5. Step 5: Solve for x
    x = 2,920,047.52/2,378.71
  6. Step 6: Final answer
    x = 1,227.58

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Why These Related Problems?

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