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Finding the Fourth Proportional to 1,267.93, 1,898.62 and 1,157.77

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Solution

The fourth proportional to 1,267.93, 1,898.62 and 1,157.77 is: 1,733.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.93 : 1,898.62 = 1,157.77 : x
  2. Step 2: Convert to fraction form
    1,267.93/1,898.62 = 1,157.77/x
  3. Step 3: Cross multiply
    1,267.93x = 1,898.62 × 1,157.77
  4. Step 4: Simplify right side
    1,267.93x = 2,198,165.28
  5. Step 5: Solve for x
    x = 2,198,165.28/1,267.93
  6. Step 6: Final answer
    x = 1,733.66

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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.