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Finding the Fourth Proportional to 7,801.60, 11,689.60 and 7,340.80

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Solution

The fourth proportional to 7,801.60, 11,689.60 and 7,340.80 is: 10,999.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.60 : 11,689.60 = 7,340.80 : x
  2. Step 2: Convert to fraction form
    7,801.60/11,689.60 = 7,340.80/x
  3. Step 3: Cross multiply
    7,801.60x = 11,689.60 × 7,340.80
  4. Step 4: Simplify right side
    7,801.60x = 85,811,015.68
  5. Step 5: Solve for x
    x = 85,811,015.68/7,801.60
  6. Step 6: Final answer
    x = 10,999.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.