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Finding the Fourth Proportional to 4,778.66, 7,168 and 1,316.18

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Solution

The fourth proportional to 4,778.66, 7,168 and 1,316.18 is: 1,974.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,778.66 : 7,168 = 1,316.18 : x
  2. Step 2: Convert to fraction form
    4,778.66/7,168 = 1,316.18/x
  3. Step 3: Cross multiply
    4,778.66x = 7,168 × 1,316.18
  4. Step 4: Simplify right side
    4,778.66x = 9,434,378.24
  5. Step 5: Solve for x
    x = 9,434,378.24/4,778.66
  6. Step 6: Final answer
    x = 1,974.27

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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.