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Finding the Fourth Proportional to 7,716.76, 10,649.18 and 4,180

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Solution

The fourth proportional to 7,716.76, 10,649.18 and 4,180 is: 5,768.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,716.76 : 10,649.18 = 4,180 : x
  2. Step 2: Convert to fraction form
    7,716.76/10,649.18 = 4,180/x
  3. Step 3: Cross multiply
    7,716.76x = 10,649.18 × 4,180
  4. Step 4: Simplify right side
    7,716.76x = 44,513,572.40
  5. Step 5: Solve for x
    x = 44,513,572.40/7,716.76
  6. Step 6: Final answer
    x = 5,768.43

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Double scale
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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.