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Finding the Fourth Proportional to 9,679.84, 14,537 and 7,928.16

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Solution

The fourth proportional to 9,679.84, 14,537 and 7,928.16 is: 11,906.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,679.84 : 14,537 = 7,928.16 : x
  2. Step 2: Convert to fraction form
    9,679.84/14,537 = 7,928.16/x
  3. Step 3: Cross multiply
    9,679.84x = 14,537 × 7,928.16
  4. Step 4: Simplify right side
    9,679.84x = 115,251,661.92
  5. Step 5: Solve for x
    x = 115,251,661.92/9,679.84
  6. Step 6: Final answer
    x = 11,906.36

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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.