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Finding the Fourth Proportional to 8,532.50, 12,806.04 and 3,342.02

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Solution

The fourth proportional to 8,532.50, 12,806.04 and 3,342.02 is: 5,015.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,532.50 : 12,806.04 = 3,342.02 : x
  2. Step 2: Convert to fraction form
    8,532.50/12,806.04 = 3,342.02/x
  3. Step 3: Cross multiply
    8,532.50x = 12,806.04 × 3,342.02
  4. Step 4: Simplify right side
    8,532.50x = 42,798,041.80
  5. Step 5: Solve for x
    x = 42,798,041.80/8,532.50
  6. Step 6: Final answer
    x = 5,015.89

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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.