Home / 7,977.47-11,962.56-2,782.13

Finding the Fourth Proportional to 7,977.47, 11,962.56 and 2,782.13

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Solution

The fourth proportional to 7,977.47, 11,962.56 and 2,782.13 is: 4,171.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,977.47 : 11,962.56 = 2,782.13 : x
  2. Step 2: Convert to fraction form
    7,977.47/11,962.56 = 2,782.13/x
  3. Step 3: Cross multiply
    7,977.47x = 11,962.56 × 2,782.13
  4. Step 4: Simplify right side
    7,977.47x = 33,281,397.05
  5. Step 5: Solve for x
    x = 33,281,397.05/7,977.47
  6. Step 6: Final answer
    x = 4,171.92

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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.