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Finding the Fourth Proportional to 9,661.60, 13,332.99 and 5,629.42

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Solution

The fourth proportional to 9,661.60, 13,332.99 and 5,629.42 is: 7,768.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661.60 : 13,332.99 = 5,629.42 : x
  2. Step 2: Convert to fraction form
    9,661.60/13,332.99 = 5,629.42/x
  3. Step 3: Cross multiply
    9,661.60x = 13,332.99 × 5,629.42
  4. Step 4: Simplify right side
    9,661.60x = 75,057,000.57
  5. Step 5: Solve for x
    x = 75,057,000.57/9,661.60
  6. Step 6: Final answer
    x = 7,768.59

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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.