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Finding the Fourth Proportional to 15,525.57, 21,424.65 and 8,452

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Solution

The fourth proportional to 15,525.57, 21,424.65 and 8,452 is: 11,663.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,525.57 : 21,424.65 = 8,452 : x
  2. Step 2: Convert to fraction form
    15,525.57/21,424.65 = 8,452/x
  3. Step 3: Cross multiply
    15,525.57x = 21,424.65 × 8,452
  4. Step 4: Simplify right side
    15,525.57x = 181,081,141.80
  5. Step 5: Solve for x
    x = 181,081,141.80/15,525.57
  6. Step 6: Final answer
    x = 11,663.41

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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.