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Finding the Fourth Proportional to 10,975.80, 15,153.84 and 8,453.46

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Solution

The fourth proportional to 10,975.80, 15,153.84 and 8,453.46 is: 11,671.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,975.80 : 15,153.84 = 8,453.46 : x
  2. Step 2: Convert to fraction form
    10,975.80/15,153.84 = 8,453.46/x
  3. Step 3: Cross multiply
    10,975.80x = 15,153.84 × 8,453.46
  4. Step 4: Simplify right side
    10,975.80x = 128,102,380.29
  5. Step 5: Solve for x
    x = 128,102,380.29/10,975.80
  6. Step 6: Final answer
    x = 11,671.35

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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.