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Finding the Fourth Proportional to 15,837.21, 21,851.89 and 9,462.85

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Solution

The fourth proportional to 15,837.21, 21,851.89 and 9,462.85 is: 13,056.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,837.21 : 21,851.89 = 9,462.85 : x
  2. Step 2: Convert to fraction form
    15,837.21/21,851.89 = 9,462.85/x
  3. Step 3: Cross multiply
    15,837.21x = 21,851.89 × 9,462.85
  4. Step 4: Simplify right side
    15,837.21x = 206,781,157.29
  5. Step 5: Solve for x
    x = 206,781,157.29/15,837.21
  6. Step 6: Final answer
    x = 13,056.67

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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.