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Finding the Fourth Proportional to 12,882.83, 17,779.78 and 7,219.11

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Solution

The fourth proportional to 12,882.83, 17,779.78 and 7,219.11 is: 9,963.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,882.83 : 17,779.78 = 7,219.11 : x
  2. Step 2: Convert to fraction form
    12,882.83/17,779.78 = 7,219.11/x
  3. Step 3: Cross multiply
    12,882.83x = 17,779.78 × 7,219.11
  4. Step 4: Simplify right side
    12,882.83x = 128,354,187.60
  5. Step 5: Solve for x
    x = 128,354,187.60/12,882.83
  6. Step 6: Final answer
    x = 9,963.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.