Home / 2,278.64-3,415.26-1,045.02

Finding the Fourth Proportional to 2,278.64, 3,415.26 and 1,045.02

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Solution

The fourth proportional to 2,278.64, 3,415.26 and 1,045.02 is: 1,566.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.64 : 3,415.26 = 1,045.02 : x
  2. Step 2: Convert to fraction form
    2,278.64/3,415.26 = 1,045.02/x
  3. Step 3: Cross multiply
    2,278.64x = 3,415.26 × 1,045.02
  4. Step 4: Simplify right side
    2,278.64x = 3,569,015.01
  5. Step 5: Solve for x
    x = 3,569,015.01/2,278.64
  6. Step 6: Final answer
    x = 1,566.29

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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.