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Finding the Fourth Proportional to 10,652.50, 15,981.35 and 3,356.50

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Solution

The fourth proportional to 10,652.50, 15,981.35 and 3,356.50 is: 5,035.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652.50 : 15,981.35 = 3,356.50 : x
  2. Step 2: Convert to fraction form
    10,652.50/15,981.35 = 3,356.50/x
  3. Step 3: Cross multiply
    10,652.50x = 15,981.35 × 3,356.50
  4. Step 4: Simplify right side
    10,652.50x = 53,641,401.28
  5. Step 5: Solve for x
    x = 53,641,401.28/10,652.50
  6. Step 6: Final answer
    x = 5,035.57

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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.