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Finding the Fourth Proportional to 8,384.76, 11,624.73 and 7,918.20

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Solution

The fourth proportional to 8,384.76, 11,624.73 and 7,918.20 is: 10,977.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.76 : 11,624.73 = 7,918.20 : x
  2. Step 2: Convert to fraction form
    8,384.76/11,624.73 = 7,918.20/x
  3. Step 3: Cross multiply
    8,384.76x = 11,624.73 × 7,918.20
  4. Step 4: Simplify right side
    8,384.76x = 92,046,937.09
  5. Step 5: Solve for x
    x = 92,046,937.09/8,384.76
  6. Step 6: Final answer
    x = 10,977.89

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.