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Finding the Fourth Proportional to 15,745.89, 21,731.39 and 9,030.21

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Solution

The fourth proportional to 15,745.89, 21,731.39 and 9,030.21 is: 12,462.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,745.89 : 21,731.39 = 9,030.21 : x
  2. Step 2: Convert to fraction form
    15,745.89/21,731.39 = 9,030.21/x
  3. Step 3: Cross multiply
    15,745.89x = 21,731.39 × 9,030.21
  4. Step 4: Simplify right side
    15,745.89x = 196,239,015.29
  5. Step 5: Solve for x
    x = 196,239,015.29/15,745.89
  6. Step 6: Final answer
    x = 12,462.87

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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.