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Finding the Fourth Proportional to 7,631.40, 11,437.08 and 5,530.08

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Solution

The fourth proportional to 7,631.40, 11,437.08 and 5,530.08 is: 8,287.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,631.40 : 11,437.08 = 5,530.08 : x
  2. Step 2: Convert to fraction form
    7,631.40/11,437.08 = 5,530.08/x
  3. Step 3: Cross multiply
    7,631.40x = 11,437.08 × 5,530.08
  4. Step 4: Simplify right side
    7,631.40x = 63,247,967.37
  5. Step 5: Solve for x
    x = 63,247,967.37/7,631.40
  6. Step 6: Final answer
    x = 8,287.86

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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.