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Finding the Fourth Proportional to 10,532, 15,806.56 and 5,339.36

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Solution

The fourth proportional to 10,532, 15,806.56 and 5,339.36 is: 8,013.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,532 : 15,806.56 = 5,339.36 : x
  2. Step 2: Convert to fraction form
    10,532/15,806.56 = 5,339.36/x
  3. Step 3: Cross multiply
    10,532x = 15,806.56 × 5,339.36
  4. Step 4: Simplify right side
    10,532x = 84,396,914.20
  5. Step 5: Solve for x
    x = 84,396,914.20/10,532
  6. Step 6: Final answer
    x = 8,013.38

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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.