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Finding the Fourth Proportional to 2,910.90, 4,022.74 and 2,586.90

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Solution

The fourth proportional to 2,910.90, 4,022.74 and 2,586.90 is: 3,574.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,910.90 : 4,022.74 = 2,586.90 : x
  2. Step 2: Convert to fraction form
    2,910.90/4,022.74 = 2,586.90/x
  3. Step 3: Cross multiply
    2,910.90x = 4,022.74 × 2,586.90
  4. Step 4: Simplify right side
    2,910.90x = 10,406,426.11
  5. Step 5: Solve for x
    x = 10,406,426.11/2,910.90
  6. Step 6: Final answer
    x = 3,574.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.