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Finding the Fourth Proportional to 7,812.97, 11,691.51 and 7,291.60

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Solution

The fourth proportional to 7,812.97, 11,691.51 and 7,291.60 is: 10,911.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.97 : 11,691.51 = 7,291.60 : x
  2. Step 2: Convert to fraction form
    7,812.97/11,691.51 = 7,291.60/x
  3. Step 3: Cross multiply
    7,812.97x = 11,691.51 × 7,291.60
  4. Step 4: Simplify right side
    7,812.97x = 85,249,814.32
  5. Step 5: Solve for x
    x = 85,249,814.32/7,812.97
  6. Step 6: Final answer
    x = 10,911.32

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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.