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Finding the Fourth Proportional to 11,143.50, 15,378.03 and 6,428.49

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Solution

The fourth proportional to 11,143.50, 15,378.03 and 6,428.49 is: 8,871.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,143.50 : 15,378.03 = 6,428.49 : x
  2. Step 2: Convert to fraction form
    11,143.50/15,378.03 = 6,428.49/x
  3. Step 3: Cross multiply
    11,143.50x = 15,378.03 × 6,428.49
  4. Step 4: Simplify right side
    11,143.50x = 98,857,512.07
  5. Step 5: Solve for x
    x = 98,857,512.07/11,143.50
  6. Step 6: Final answer
    x = 8,871.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.