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Finding the Fourth Proportional to 9,679.64, 13,365.54 and 7,785.12

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Solution

The fourth proportional to 9,679.64, 13,365.54 and 7,785.12 is: 10,749.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,679.64 : 13,365.54 = 7,785.12 : x
  2. Step 2: Convert to fraction form
    9,679.64/13,365.54 = 7,785.12/x
  3. Step 3: Cross multiply
    9,679.64x = 13,365.54 × 7,785.12
  4. Step 4: Simplify right side
    9,679.64x = 104,052,332.76
  5. Step 5: Solve for x
    x = 104,052,332.76/9,679.64
  6. Step 6: Final answer
    x = 10,749.61

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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.