Home / 2,256.78-3,113.44-1,417.40

Finding the Fourth Proportional to 2,256.78, 3,113.44 and 1,417.40

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Solution

The fourth proportional to 2,256.78, 3,113.44 and 1,417.40 is: 1,955.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.78 : 3,113.44 = 1,417.40 : x
  2. Step 2: Convert to fraction form
    2,256.78/3,113.44 = 1,417.40/x
  3. Step 3: Cross multiply
    2,256.78x = 3,113.44 × 1,417.40
  4. Step 4: Simplify right side
    2,256.78x = 4,412,989.86
  5. Step 5: Solve for x
    x = 4,412,989.86/2,256.78
  6. Step 6: Final answer
    x = 1,955.44

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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.