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Finding the Fourth Proportional to 10,143.68, 15,205.08 and 4,943.12

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Solution

The fourth proportional to 10,143.68, 15,205.08 and 4,943.12 is: 7,409.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,143.68 : 15,205.08 = 4,943.12 : x
  2. Step 2: Convert to fraction form
    10,143.68/15,205.08 = 4,943.12/x
  3. Step 3: Cross multiply
    10,143.68x = 15,205.08 × 4,943.12
  4. Step 4: Simplify right side
    10,143.68x = 75,160,535.05
  5. Step 5: Solve for x
    x = 75,160,535.05/10,143.68
  6. Step 6: Final answer
    x = 7,409.59

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1.5x scale

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.