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Finding the Fourth Proportional to 7,754.96, 11,631.16 and 6,447.12

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Solution

The fourth proportional to 7,754.96, 11,631.16 and 6,447.12 is: 9,669.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,754.96 : 11,631.16 = 6,447.12 : x
  2. Step 2: Convert to fraction form
    7,754.96/11,631.16 = 6,447.12/x
  3. Step 3: Cross multiply
    7,754.96x = 11,631.16 × 6,447.12
  4. Step 4: Simplify right side
    7,754.96x = 74,987,484.26
  5. Step 5: Solve for x
    x = 74,987,484.26/7,754.96
  6. Step 6: Final answer
    x = 9,669.62

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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.