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Finding the Fourth Proportional to 2,758.72, 3,805.84 and 1,762.24

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Solution

The fourth proportional to 2,758.72, 3,805.84 and 1,762.24 is: 2,431.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.72 : 3,805.84 = 1,762.24 : x
  2. Step 2: Convert to fraction form
    2,758.72/3,805.84 = 1,762.24/x
  3. Step 3: Cross multiply
    2,758.72x = 3,805.84 × 1,762.24
  4. Step 4: Simplify right side
    2,758.72x = 6,706,803.48
  5. Step 5: Solve for x
    x = 6,706,803.48/2,758.72
  6. Step 6: Final answer
    x = 2,431.13

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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.