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Finding the Fourth Proportional to 2,866.39, 4,298.56 and 918.07

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Solution

The fourth proportional to 2,866.39, 4,298.56 and 918.07 is: 1,376.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.39 : 4,298.56 = 918.07 : x
  2. Step 2: Convert to fraction form
    2,866.39/4,298.56 = 918.07/x
  3. Step 3: Cross multiply
    2,866.39x = 4,298.56 × 918.07
  4. Step 4: Simplify right side
    2,866.39x = 3,946,378.98
  5. Step 5: Solve for x
    x = 3,946,378.98/2,866.39
  6. Step 6: Final answer
    x = 1,376.78

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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.