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Finding the Fourth Proportional to 2,378.27, 3,567.41 and 646.89

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Solution

The fourth proportional to 2,378.27, 3,567.41 and 646.89 is: 970.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.27 : 3,567.41 = 646.89 : x
  2. Step 2: Convert to fraction form
    2,378.27/3,567.41 = 646.89/x
  3. Step 3: Cross multiply
    2,378.27x = 3,567.41 × 646.89
  4. Step 4: Simplify right side
    2,378.27x = 2,307,721.85
  5. Step 5: Solve for x
    x = 2,307,721.85/2,378.27
  6. Step 6: Final answer
    x = 970.34

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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.