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Finding the Fourth Proportional to 8,530.80, 11,769.18 and 5,342.80

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Solution

The fourth proportional to 8,530.80, 11,769.18 and 5,342.80 is: 7,370.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530.80 : 11,769.18 = 5,342.80 : x
  2. Step 2: Convert to fraction form
    8,530.80/11,769.18 = 5,342.80/x
  3. Step 3: Cross multiply
    8,530.80x = 11,769.18 × 5,342.80
  4. Step 4: Simplify right side
    8,530.80x = 62,880,374.90
  5. Step 5: Solve for x
    x = 62,880,374.90/8,530.80
  6. Step 6: Final answer
    x = 7,370.98

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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.