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Finding the Fourth Proportional to 2,678.87, 4,017.83 and 947.09

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Solution

The fourth proportional to 2,678.87, 4,017.83 and 947.09 is: 1,420.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.87 : 4,017.83 = 947.09 : x
  2. Step 2: Convert to fraction form
    2,678.87/4,017.83 = 947.09/x
  3. Step 3: Cross multiply
    2,678.87x = 4,017.83 × 947.09
  4. Step 4: Simplify right side
    2,678.87x = 3,805,221.79
  5. Step 5: Solve for x
    x = 3,805,221.79/2,678.87
  6. Step 6: Final answer
    x = 1,420.46

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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.