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Finding the Fourth Proportional to 3,167.70, 4,749.20 and 975.18

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Solution

The fourth proportional to 3,167.70, 4,749.20 and 975.18 is: 1,462.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.70 : 4,749.20 = 975.18 : x
  2. Step 2: Convert to fraction form
    3,167.70/4,749.20 = 975.18/x
  3. Step 3: Cross multiply
    3,167.70x = 4,749.20 × 975.18
  4. Step 4: Simplify right side
    3,167.70x = 4,631,324.86
  5. Step 5: Solve for x
    x = 4,631,324.86/3,167.70
  6. Step 6: Final answer
    x = 1,462.05

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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.