Home / 2,511.48-3,767.66-780.04

Finding the Fourth Proportional to 2,511.48, 3,767.66 and 780.04

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Solution

The fourth proportional to 2,511.48, 3,767.66 and 780.04 is: 1,170.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511.48 : 3,767.66 = 780.04 : x
  2. Step 2: Convert to fraction form
    2,511.48/3,767.66 = 780.04/x
  3. Step 3: Cross multiply
    2,511.48x = 3,767.66 × 780.04
  4. Step 4: Simplify right side
    2,511.48x = 2,938,925.51
  5. Step 5: Solve for x
    x = 2,938,925.51/2,511.48
  6. Step 6: Final answer
    x = 1,170.20

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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.