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Finding the Fourth Proportional to 2,421.91, 3,633.45 and 778.61

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Solution

The fourth proportional to 2,421.91, 3,633.45 and 778.61 is: 1,168.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,421.91 : 3,633.45 = 778.61 : x
  2. Step 2: Convert to fraction form
    2,421.91/3,633.45 = 778.61/x
  3. Step 3: Cross multiply
    2,421.91x = 3,633.45 × 778.61
  4. Step 4: Simplify right side
    2,421.91x = 2,829,040.50
  5. Step 5: Solve for x
    x = 2,829,040.50/2,421.91
  6. Step 6: Final answer
    x = 1,168.11

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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.