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Finding the Fourth Proportional to 2,934.73, 4,400.70 and 985.51

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Solution

The fourth proportional to 2,934.73, 4,400.70 and 985.51 is: 1,477.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,934.73 : 4,400.70 = 985.51 : x
  2. Step 2: Convert to fraction form
    2,934.73/4,400.70 = 985.51/x
  3. Step 3: Cross multiply
    2,934.73x = 4,400.70 × 985.51
  4. Step 4: Simplify right side
    2,934.73x = 4,336,933.86
  5. Step 5: Solve for x
    x = 4,336,933.86/2,934.73
  6. Step 6: Final answer
    x = 1,477.80

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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.