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Finding the Fourth Proportional to 9,791.79, 14,656.14 and 5,105.13

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Solution

The fourth proportional to 9,791.79, 14,656.14 and 5,105.13 is: 7,641.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.79 : 14,656.14 = 5,105.13 : x
  2. Step 2: Convert to fraction form
    9,791.79/14,656.14 = 5,105.13/x
  3. Step 3: Cross multiply
    9,791.79x = 14,656.14 × 5,105.13
  4. Step 4: Simplify right side
    9,791.79x = 74,821,445.04
  5. Step 5: Solve for x
    x = 74,821,445.04/9,791.79
  6. Step 6: Final answer
    x = 7,641.25

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1.5x scale

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.