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Finding the Fourth Proportional to 11,195.95, 15,434.04 and 7,828.28

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Solution

The fourth proportional to 11,195.95, 15,434.04 and 7,828.28 is: 10,791.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,195.95 : 15,434.04 = 7,828.28 : x
  2. Step 2: Convert to fraction form
    11,195.95/15,434.04 = 7,828.28/x
  3. Step 3: Cross multiply
    11,195.95x = 15,434.04 × 7,828.28
  4. Step 4: Simplify right side
    11,195.95x = 120,822,054.59
  5. Step 5: Solve for x
    x = 120,822,054.59/11,195.95
  6. Step 6: Final answer
    x = 10,791.59

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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.