Home / 2,421.89-3,633.14-778.40

Finding the Fourth Proportional to 2,421.89, 3,633.14 and 778.40

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Solution

The fourth proportional to 2,421.89, 3,633.14 and 778.40 is: 1,167.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,421.89 : 3,633.14 = 778.40 : x
  2. Step 2: Convert to fraction form
    2,421.89/3,633.14 = 778.40/x
  3. Step 3: Cross multiply
    2,421.89x = 3,633.14 × 778.40
  4. Step 4: Simplify right side
    2,421.89x = 2,828,036.18
  5. Step 5: Solve for x
    x = 2,828,036.18/2,421.89
  6. Step 6: Final answer
    x = 1,167.70

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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.