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Finding the Fourth Proportional to 2,740.71, 4,109.97 and 985.32

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Solution

The fourth proportional to 2,740.71, 4,109.97 and 985.32 is: 1,477.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.71 : 4,109.97 = 985.32 : x
  2. Step 2: Convert to fraction form
    2,740.71/4,109.97 = 985.32/x
  3. Step 3: Cross multiply
    2,740.71x = 4,109.97 × 985.32
  4. Step 4: Simplify right side
    2,740.71x = 4,049,635.64
  5. Step 5: Solve for x
    x = 4,049,635.64/2,740.71
  6. Step 6: Final answer
    x = 1,477.59

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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.