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Finding the Fourth Proportional to 9,545.46, 13,172.87 and 7,151.19

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Solution

The fourth proportional to 9,545.46, 13,172.87 and 7,151.19 is: 9,868.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,545.46 : 13,172.87 = 7,151.19 : x
  2. Step 2: Convert to fraction form
    9,545.46/13,172.87 = 7,151.19/x
  3. Step 3: Cross multiply
    9,545.46x = 13,172.87 × 7,151.19
  4. Step 4: Simplify right side
    9,545.46x = 94,201,696.22
  5. Step 5: Solve for x
    x = 94,201,696.22/9,545.46
  6. Step 6: Final answer
    x = 9,868.74

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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.