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Finding the Fourth Proportional to 1,256.31, 1,874.97 and 1,223.51

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Solution

The fourth proportional to 1,256.31, 1,874.97 and 1,223.51 is: 1,826.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.31 : 1,874.97 = 1,223.51 : x
  2. Step 2: Convert to fraction form
    1,256.31/1,874.97 = 1,223.51/x
  3. Step 3: Cross multiply
    1,256.31x = 1,874.97 × 1,223.51
  4. Step 4: Simplify right side
    1,256.31x = 2,294,038.61
  5. Step 5: Solve for x
    x = 2,294,038.61/1,256.31
  6. Step 6: Final answer
    x = 1,826.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.