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Finding the Fourth Proportional to 2,758.42, 3,806.08 and 1,762.93

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Solution

The fourth proportional to 2,758.42, 3,806.08 and 1,762.93 is: 2,432.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.42 : 3,806.08 = 1,762.93 : x
  2. Step 2: Convert to fraction form
    2,758.42/3,806.08 = 1,762.93/x
  3. Step 3: Cross multiply
    2,758.42x = 3,806.08 × 1,762.93
  4. Step 4: Simplify right side
    2,758.42x = 6,709,852.61
  5. Step 5: Solve for x
    x = 6,709,852.61/2,758.42
  6. Step 6: Final answer
    x = 2,432.50

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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.