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Finding the Fourth Proportional to 8,969.60, 12,377.86 and 5,193.44

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Solution

The fourth proportional to 8,969.60, 12,377.86 and 5,193.44 is: 7,166.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,969.60 : 12,377.86 = 5,193.44 : x
  2. Step 2: Convert to fraction form
    8,969.60/12,377.86 = 5,193.44/x
  3. Step 3: Cross multiply
    8,969.60x = 12,377.86 × 5,193.44
  4. Step 4: Simplify right side
    8,969.60x = 64,283,717.02
  5. Step 5: Solve for x
    x = 64,283,717.02/8,969.60
  6. Step 6: Final answer
    x = 7,166.84

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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.