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Finding the Fourth Proportional to 1,267.86, 1,893.57 and 1,259.58

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Solution

The fourth proportional to 1,267.86, 1,893.57 and 1,259.58 is: 1,881.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.86 : 1,893.57 = 1,259.58 : x
  2. Step 2: Convert to fraction form
    1,267.86/1,893.57 = 1,259.58/x
  3. Step 3: Cross multiply
    1,267.86x = 1,893.57 × 1,259.58
  4. Step 4: Simplify right side
    1,267.86x = 2,385,102.90
  5. Step 5: Solve for x
    x = 2,385,102.90/1,267.86
  6. Step 6: Final answer
    x = 1,881.20

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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.