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Finding the Fourth Proportional to 10,135.50, 15,203.25 and 3,210

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Solution

The fourth proportional to 10,135.50, 15,203.25 and 3,210 is: 4,815

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,135.50 : 15,203.25 = 3,210 : x
  2. Step 2: Convert to fraction form
    10,135.50/15,203.25 = 3,210/x
  3. Step 3: Cross multiply
    10,135.50x = 15,203.25 × 3,210
  4. Step 4: Simplify right side
    10,135.50x = 48,802,432.50
  5. Step 5: Solve for x
    x = 48,802,432.50/10,135.50
  6. Step 6: Final answer
    x = 4,815

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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.