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Finding the Fourth Proportional to 9,671.76, 13,373.82 and 7,678.80

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Solution

The fourth proportional to 9,671.76, 13,373.82 and 7,678.80 is: 10,618.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.76 : 13,373.82 = 7,678.80 : x
  2. Step 2: Convert to fraction form
    9,671.76/13,373.82 = 7,678.80/x
  3. Step 3: Cross multiply
    9,671.76x = 13,373.82 × 7,678.80
  4. Step 4: Simplify right side
    9,671.76x = 102,694,889.02
  5. Step 5: Solve for x
    x = 102,694,889.02/9,671.76
  6. Step 6: Final answer
    x = 10,618.01

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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.