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Finding the Fourth Proportional to 9,729.80, 13,427.80 and 5,538.05

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Solution

The fourth proportional to 9,729.80, 13,427.80 and 5,538.05 is: 7,642.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729.80 : 13,427.80 = 5,538.05 : x
  2. Step 2: Convert to fraction form
    9,729.80/13,427.80 = 5,538.05/x
  3. Step 3: Cross multiply
    9,729.80x = 13,427.80 × 5,538.05
  4. Step 4: Simplify right side
    9,729.80x = 74,363,760.65
  5. Step 5: Solve for x
    x = 74,363,760.65/9,729.80
  6. Step 6: Final answer
    x = 7,642.89

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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.