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Finding the Fourth Proportional to 1,277.87, 1,762.49 and 1,101.13

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Solution

The fourth proportional to 1,277.87, 1,762.49 and 1,101.13 is: 1,518.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.87 : 1,762.49 = 1,101.13 : x
  2. Step 2: Convert to fraction form
    1,277.87/1,762.49 = 1,101.13/x
  3. Step 3: Cross multiply
    1,277.87x = 1,762.49 × 1,101.13
  4. Step 4: Simplify right side
    1,277.87x = 1,940,728.96
  5. Step 5: Solve for x
    x = 1,940,728.96/1,277.87
  6. Step 6: Final answer
    x = 1,518.73

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1.5x scale

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.