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Finding the Fourth Proportional to 7,698.78, 10,619.91 and 7,180.38

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Solution

The fourth proportional to 7,698.78, 10,619.91 and 7,180.38 is: 9,904.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.78 : 10,619.91 = 7,180.38 : x
  2. Step 2: Convert to fraction form
    7,698.78/10,619.91 = 7,180.38/x
  3. Step 3: Cross multiply
    7,698.78x = 10,619.91 × 7,180.38
  4. Step 4: Simplify right side
    7,698.78x = 76,254,989.37
  5. Step 5: Solve for x
    x = 76,254,989.37/7,698.78
  6. Step 6: Final answer
    x = 9,904.81

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Half scale
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Double scale
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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.