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Finding the Fourth Proportional to 3,162.65, 4,743.78 and 971.39

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Solution

The fourth proportional to 3,162.65, 4,743.78 and 971.39 is: 1,457.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.65 : 4,743.78 = 971.39 : x
  2. Step 2: Convert to fraction form
    3,162.65/4,743.78 = 971.39/x
  3. Step 3: Cross multiply
    3,162.65x = 4,743.78 × 971.39
  4. Step 4: Simplify right side
    3,162.65x = 4,608,036.74
  5. Step 5: Solve for x
    x = 4,608,036.74/3,162.65
  6. Step 6: Final answer
    x = 1,457.02

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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.