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Finding the Fourth Proportional to 11,385.68, 15,715.74 and 6,671.48

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Solution

The fourth proportional to 11,385.68, 15,715.74 and 6,671.48 is: 9,208.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,385.68 : 15,715.74 = 6,671.48 : x
  2. Step 2: Convert to fraction form
    11,385.68/15,715.74 = 6,671.48/x
  3. Step 3: Cross multiply
    11,385.68x = 15,715.74 × 6,671.48
  4. Step 4: Simplify right side
    11,385.68x = 104,847,245.10
  5. Step 5: Solve for x
    x = 104,847,245.10/11,385.68
  6. Step 6: Final answer
    x = 9,208.69

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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.