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Finding the Fourth Proportional to 3,167.66, 4,749.24 and 975.20

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Solution

The fourth proportional to 3,167.66, 4,749.24 and 975.20 is: 1,462.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.66 : 4,749.24 = 975.20 : x
  2. Step 2: Convert to fraction form
    3,167.66/4,749.24 = 975.20/x
  3. Step 3: Cross multiply
    3,167.66x = 4,749.24 × 975.20
  4. Step 4: Simplify right side
    3,167.66x = 4,631,458.85
  5. Step 5: Solve for x
    x = 4,631,458.85/3,167.66
  6. Step 6: Final answer
    x = 1,462.11

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1.5x scale

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.