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Finding the Fourth Proportional to 3,502.81, 4,830.62 and 2,557.10

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Solution

The fourth proportional to 3,502.81, 4,830.62 and 2,557.10 is: 3,526.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.81 : 4,830.62 = 2,557.10 : x
  2. Step 2: Convert to fraction form
    3,502.81/4,830.62 = 2,557.10/x
  3. Step 3: Cross multiply
    3,502.81x = 4,830.62 × 2,557.10
  4. Step 4: Simplify right side
    3,502.81x = 12,352,365.62
  5. Step 5: Solve for x
    x = 12,352,365.62/3,502.81
  6. Step 6: Final answer
    x = 3,526.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.