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Finding the Fourth Proportional to 5,713.83, 7,885.21 and 4,038.19

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Solution

The fourth proportional to 5,713.83, 7,885.21 and 4,038.19 is: 5,572.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.83 : 7,885.21 = 4,038.19 : x
  2. Step 2: Convert to fraction form
    5,713.83/7,885.21 = 4,038.19/x
  3. Step 3: Cross multiply
    5,713.83x = 7,885.21 × 4,038.19
  4. Step 4: Simplify right side
    5,713.83x = 31,841,976.17
  5. Step 5: Solve for x
    x = 31,841,976.17/5,713.83
  6. Step 6: Final answer
    x = 5,572.79

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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.