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Finding the Fourth Proportional to 7,182.18, 9,916.29 and 5,293.98

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Solution

The fourth proportional to 7,182.18, 9,916.29 and 5,293.98 is: 7,309.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.18 : 9,916.29 = 5,293.98 : x
  2. Step 2: Convert to fraction form
    7,182.18/9,916.29 = 5,293.98/x
  3. Step 3: Cross multiply
    7,182.18x = 9,916.29 × 5,293.98
  4. Step 4: Simplify right side
    7,182.18x = 52,496,640.93
  5. Step 5: Solve for x
    x = 52,496,640.93/7,182.18
  6. Step 6: Final answer
    x = 7,309.29

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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.