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Finding the Fourth Proportional to 8,506.24, 12,696.94 and 7,880

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Solution

The fourth proportional to 8,506.24, 12,696.94 and 7,880 is: 11,762.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506.24 : 12,696.94 = 7,880 : x
  2. Step 2: Convert to fraction form
    8,506.24/12,696.94 = 7,880/x
  3. Step 3: Cross multiply
    8,506.24x = 12,696.94 × 7,880
  4. Step 4: Simplify right side
    8,506.24x = 100,051,887.20
  5. Step 5: Solve for x
    x = 100,051,887.20/8,506.24
  6. Step 6: Final answer
    x = 11,762.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.