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Finding the Fourth Proportional to 15,722.36, 21,696.96 and 8,648.60

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Solution

The fourth proportional to 15,722.36, 21,696.96 and 8,648.60 is: 11,935.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,722.36 : 21,696.96 = 8,648.60 : x
  2. Step 2: Convert to fraction form
    15,722.36/21,696.96 = 8,648.60/x
  3. Step 3: Cross multiply
    15,722.36x = 21,696.96 × 8,648.60
  4. Step 4: Simplify right side
    15,722.36x = 187,648,328.26
  5. Step 5: Solve for x
    x = 187,648,328.26/15,722.36
  6. Step 6: Final answer
    x = 11,935.12

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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.