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Finding the Fourth Proportional to 2,378.25, 3,567.42 and 646.92

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Solution

The fourth proportional to 2,378.25, 3,567.42 and 646.92 is: 970.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.25 : 3,567.42 = 646.92 : x
  2. Step 2: Convert to fraction form
    2,378.25/3,567.42 = 646.92/x
  3. Step 3: Cross multiply
    2,378.25x = 3,567.42 × 646.92
  4. Step 4: Simplify right side
    2,378.25x = 2,307,835.35
  5. Step 5: Solve for x
    x = 2,307,835.35/2,378.25
  6. Step 6: Final answer
    x = 970.39

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1.5x scale

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.