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Finding the Fourth Proportional to 8,696.16, 11,996.64 and 5,159.34

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Solution

The fourth proportional to 8,696.16, 11,996.64 and 5,159.34 is: 7,117.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,696.16 : 11,996.64 = 5,159.34 : x
  2. Step 2: Convert to fraction form
    8,696.16/11,996.64 = 5,159.34/x
  3. Step 3: Cross multiply
    8,696.16x = 11,996.64 × 5,159.34
  4. Step 4: Simplify right side
    8,696.16x = 61,894,744.62
  5. Step 5: Solve for x
    x = 61,894,744.62/8,696.16
  6. Step 6: Final answer
    x = 7,117.48

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1.5x scale

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.