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Finding the Fourth Proportional to 8,980.76, 13,470.98 and 2,824.76

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Solution

The fourth proportional to 8,980.76, 13,470.98 and 2,824.76 is: 4,237.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,980.76 : 13,470.98 = 2,824.76 : x
  2. Step 2: Convert to fraction form
    8,980.76/13,470.98 = 2,824.76/x
  3. Step 3: Cross multiply
    8,980.76x = 13,470.98 × 2,824.76
  4. Step 4: Simplify right side
    8,980.76x = 38,052,203.99
  5. Step 5: Solve for x
    x = 38,052,203.99/8,980.76
  6. Step 6: Final answer
    x = 4,237.08

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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.