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Finding the Fourth Proportional to 13,080, 19,624.32 and 5,284.56

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Solution

The fourth proportional to 13,080, 19,624.32 and 5,284.56 is: 7,928.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,080 : 19,624.32 = 5,284.56 : x
  2. Step 2: Convert to fraction form
    13,080/19,624.32 = 5,284.56/x
  3. Step 3: Cross multiply
    13,080x = 19,624.32 × 5,284.56
  4. Step 4: Simplify right side
    13,080x = 103,705,896.50
  5. Step 5: Solve for x
    x = 103,705,896.50/13,080
  6. Step 6: Final answer
    x = 7,928.59

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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.