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Finding the Fourth Proportional to 6,671.60, 9,205.71 and 3,981.99

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Solution

The fourth proportional to 6,671.60, 9,205.71 and 3,981.99 is: 5,494.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,671.60 : 9,205.71 = 3,981.99 : x
  2. Step 2: Convert to fraction form
    6,671.60/9,205.71 = 3,981.99/x
  3. Step 3: Cross multiply
    6,671.60x = 9,205.71 × 3,981.99
  4. Step 4: Simplify right side
    6,671.60x = 36,657,045.16
  5. Step 5: Solve for x
    x = 36,657,045.16/6,671.60
  6. Step 6: Final answer
    x = 5,494.49

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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.