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Finding the Fourth Proportional to 9,967.75, 13,760.48 and 7,724.59

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Solution

The fourth proportional to 9,967.75, 13,760.48 and 7,724.59 is: 10,663.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.75 : 13,760.48 = 7,724.59 : x
  2. Step 2: Convert to fraction form
    9,967.75/13,760.48 = 7,724.59/x
  3. Step 3: Cross multiply
    9,967.75x = 13,760.48 × 7,724.59
  4. Step 4: Simplify right side
    9,967.75x = 106,294,051.11
  5. Step 5: Solve for x
    x = 106,294,051.11/9,967.75
  6. Step 6: Final answer
    x = 10,663.80

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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.