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Finding the Fourth Proportional to 9,393.69, 14,091 and 7,747.20

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Solution

The fourth proportional to 9,393.69, 14,091 and 7,747.20 is: 11,621.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,393.69 : 14,091 = 7,747.20 : x
  2. Step 2: Convert to fraction form
    9,393.69/14,091 = 7,747.20/x
  3. Step 3: Cross multiply
    9,393.69x = 14,091 × 7,747.20
  4. Step 4: Simplify right side
    9,393.69x = 109,165,795.20
  5. Step 5: Solve for x
    x = 109,165,795.20/9,393.69
  6. Step 6: Final answer
    x = 11,621.18

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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.