Home / 2,378.24-3,567.30-646.86

Finding the Fourth Proportional to 2,378.24, 3,567.30 and 646.86

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Solution

The fourth proportional to 2,378.24, 3,567.30 and 646.86 is: 970.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.24 : 3,567.30 = 646.86 : x
  2. Step 2: Convert to fraction form
    2,378.24/3,567.30 = 646.86/x
  3. Step 3: Cross multiply
    2,378.24x = 3,567.30 × 646.86
  4. Step 4: Simplify right side
    2,378.24x = 2,307,543.68
  5. Step 5: Solve for x
    x = 2,307,543.68/2,378.24
  6. Step 6: Final answer
    x = 970.27

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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.