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Finding the Fourth Proportional to 5,765.78, 7,946.25 and 4,191.14

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Solution

The fourth proportional to 5,765.78, 7,946.25 and 4,191.14 is: 5,776.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.78 : 7,946.25 = 4,191.14 : x
  2. Step 2: Convert to fraction form
    5,765.78/7,946.25 = 4,191.14/x
  3. Step 3: Cross multiply
    5,765.78x = 7,946.25 × 4,191.14
  4. Step 4: Simplify right side
    5,765.78x = 33,303,846.23
  5. Step 5: Solve for x
    x = 33,303,846.23/5,765.78
  6. Step 6: Final answer
    x = 5,776.12

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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.