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Finding the Fourth Proportional to 2,210.12, 3,315.68 and 671

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Solution

The fourth proportional to 2,210.12, 3,315.68 and 671 is: 1,006.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.12 : 3,315.68 = 671 : x
  2. Step 2: Convert to fraction form
    2,210.12/3,315.68 = 671/x
  3. Step 3: Cross multiply
    2,210.12x = 3,315.68 × 671
  4. Step 4: Simplify right side
    2,210.12x = 2,224,821.28
  5. Step 5: Solve for x
    x = 2,224,821.28/2,210.12
  6. Step 6: Final answer
    x = 1,006.65

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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.