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Finding the Fourth Proportional to 3,166.72, 4,749.77 and 975.47

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Solution

The fourth proportional to 3,166.72, 4,749.77 and 975.47 is: 1,463.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.72 : 4,749.77 = 975.47 : x
  2. Step 2: Convert to fraction form
    3,166.72/4,749.77 = 975.47/x
  3. Step 3: Cross multiply
    3,166.72x = 4,749.77 × 975.47
  4. Step 4: Simplify right side
    3,166.72x = 4,633,236.83
  5. Step 5: Solve for x
    x = 4,633,236.83/3,166.72
  6. Step 6: Final answer
    x = 1,463.10

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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.