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Finding the Fourth Proportional to 7,116.17, 10,680.05 and 5,038.19

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Solution

The fourth proportional to 7,116.17, 10,680.05 and 5,038.19 is: 7,561.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116.17 : 10,680.05 = 5,038.19 : x
  2. Step 2: Convert to fraction form
    7,116.17/10,680.05 = 5,038.19/x
  3. Step 3: Cross multiply
    7,116.17x = 10,680.05 × 5,038.19
  4. Step 4: Simplify right side
    7,116.17x = 53,808,042.52
  5. Step 5: Solve for x
    x = 53,808,042.52/7,116.17
  6. Step 6: Final answer
    x = 7,561.38

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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.