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Finding the Fourth Proportional to 3,502.42, 5,240.65 and 2,806.98

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Solution

The fourth proportional to 3,502.42, 5,240.65 and 2,806.98 is: 4,200.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.42 : 5,240.65 = 2,806.98 : x
  2. Step 2: Convert to fraction form
    3,502.42/5,240.65 = 2,806.98/x
  3. Step 3: Cross multiply
    3,502.42x = 5,240.65 × 2,806.98
  4. Step 4: Simplify right side
    3,502.42x = 14,710,399.74
  5. Step 5: Solve for x
    x = 14,710,399.74/3,502.42
  6. Step 6: Final answer
    x = 4,200.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.