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Finding the Fourth Proportional to 2,810.68, 4,205.22 and 2,264.20

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Solution

The fourth proportional to 2,810.68, 4,205.22 and 2,264.20 is: 3,387.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.68 : 4,205.22 = 2,264.20 : x
  2. Step 2: Convert to fraction form
    2,810.68/4,205.22 = 2,264.20/x
  3. Step 3: Cross multiply
    2,810.68x = 4,205.22 × 2,264.20
  4. Step 4: Simplify right side
    2,810.68x = 9,521,459.12
  5. Step 5: Solve for x
    x = 9,521,459.12/2,810.68
  6. Step 6: Final answer
    x = 3,387.60

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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.