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Finding the Fourth Proportional to 7,763.16, 10,717.74 and 5,115

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Solution

The fourth proportional to 7,763.16, 10,717.74 and 5,115 is: 7,061.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.16 : 10,717.74 = 5,115 : x
  2. Step 2: Convert to fraction form
    7,763.16/10,717.74 = 5,115/x
  3. Step 3: Cross multiply
    7,763.16x = 10,717.74 × 5,115
  4. Step 4: Simplify right side
    7,763.16x = 54,821,240.10
  5. Step 5: Solve for x
    x = 54,821,240.10/7,763.16
  6. Step 6: Final answer
    x = 7,061.72

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Why These Related Problems?

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