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Finding the Fourth Proportional to 34,752.50, 52,138.35 and 10,128.50

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Solution

The fourth proportional to 34,752.50, 52,138.35 and 10,128.50 is: 15,195.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,752.50 : 52,138.35 = 10,128.50 : x
  2. Step 2: Convert to fraction form
    34,752.50/52,138.35 = 10,128.50/x
  3. Step 3: Cross multiply
    34,752.50x = 52,138.35 × 10,128.50
  4. Step 4: Simplify right side
    34,752.50x = 528,083,277.98
  5. Step 5: Solve for x
    x = 528,083,277.98/34,752.50
  6. Step 6: Final answer
    x = 15,195.55

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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.