Home / 2,820.10-3,892-1,561.46

Finding the Fourth Proportional to 2,820.10, 3,892 and 1,561.46

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Solution

The fourth proportional to 2,820.10, 3,892 and 1,561.46 is: 2,154.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.10 : 3,892 = 1,561.46 : x
  2. Step 2: Convert to fraction form
    2,820.10/3,892 = 1,561.46/x
  3. Step 3: Cross multiply
    2,820.10x = 3,892 × 1,561.46
  4. Step 4: Simplify right side
    2,820.10x = 6,077,202.32
  5. Step 5: Solve for x
    x = 6,077,202.32/2,820.10
  6. Step 6: Final answer
    x = 2,154.96

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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.