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Finding the Fourth Proportional to 8,898.50, 13,348.48 and 2,742.50

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Solution

The fourth proportional to 8,898.50, 13,348.48 and 2,742.50 is: 4,113.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,898.50 : 13,348.48 = 2,742.50 : x
  2. Step 2: Convert to fraction form
    8,898.50/13,348.48 = 2,742.50/x
  3. Step 3: Cross multiply
    8,898.50x = 13,348.48 × 2,742.50
  4. Step 4: Simplify right side
    8,898.50x = 36,608,206.40
  5. Step 5: Solve for x
    x = 36,608,206.40/8,898.50
  6. Step 6: Final answer
    x = 4,113.97

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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.