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Finding the Fourth Proportional to 7,242.78, 9,984.14 and 5,668.14

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Solution

The fourth proportional to 7,242.78, 9,984.14 and 5,668.14 is: 7,813.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,242.78 : 9,984.14 = 5,668.14 : x
  2. Step 2: Convert to fraction form
    7,242.78/9,984.14 = 5,668.14/x
  3. Step 3: Cross multiply
    7,242.78x = 9,984.14 × 5,668.14
  4. Step 4: Simplify right side
    7,242.78x = 56,591,503.30
  5. Step 5: Solve for x
    x = 56,591,503.30/7,242.78
  6. Step 6: Final answer
    x = 7,813.51

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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.