Home / 2,742.08-3,783.76-1,562.80

Finding the Fourth Proportional to 2,742.08, 3,783.76 and 1,562.80

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Solution

The fourth proportional to 2,742.08, 3,783.76 and 1,562.80 is: 2,156.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.08 : 3,783.76 = 1,562.80 : x
  2. Step 2: Convert to fraction form
    2,742.08/3,783.76 = 1,562.80/x
  3. Step 3: Cross multiply
    2,742.08x = 3,783.76 × 1,562.80
  4. Step 4: Simplify right side
    2,742.08x = 5,913,260.13
  5. Step 5: Solve for x
    x = 5,913,260.13/2,742.08
  6. Step 6: Final answer
    x = 2,156.49

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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.