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Finding the Fourth Proportional to 15,090.20, 20,823.51 and 9,424.61

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Solution

The fourth proportional to 15,090.20, 20,823.51 and 9,424.61 is: 13,005.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,090.20 : 20,823.51 = 9,424.61 : x
  2. Step 2: Convert to fraction form
    15,090.20/20,823.51 = 9,424.61/x
  3. Step 3: Cross multiply
    15,090.20x = 20,823.51 × 9,424.61
  4. Step 4: Simplify right side
    15,090.20x = 196,253,448.94
  5. Step 5: Solve for x
    x = 196,253,448.94/15,090.20
  6. Step 6: Final answer
    x = 13,005.36

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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.