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Finding the Fourth Proportional to 9,829.62, 13,565.07 and 7,707.69

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Solution

The fourth proportional to 9,829.62, 13,565.07 and 7,707.69 is: 10,636.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829.62 : 13,565.07 = 7,707.69 : x
  2. Step 2: Convert to fraction form
    9,829.62/13,565.07 = 7,707.69/x
  3. Step 3: Cross multiply
    9,829.62x = 13,565.07 × 7,707.69
  4. Step 4: Simplify right side
    9,829.62x = 104,555,354.39
  5. Step 5: Solve for x
    x = 104,555,354.39/9,829.62
  6. Step 6: Final answer
    x = 10,636.76

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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.