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Finding the Fourth Proportional to 11,434.78, 15,779.97 and 6,721.78

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Solution

The fourth proportional to 11,434.78, 15,779.97 and 6,721.78 is: 9,276.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,434.78 : 15,779.97 = 6,721.78 : x
  2. Step 2: Convert to fraction form
    11,434.78/15,779.97 = 6,721.78/x
  3. Step 3: Cross multiply
    11,434.78x = 15,779.97 × 6,721.78
  4. Step 4: Simplify right side
    11,434.78x = 106,069,486.75
  5. Step 5: Solve for x
    x = 106,069,486.75/11,434.78
  6. Step 6: Final answer
    x = 9,276.04

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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.