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Finding the Fourth Proportional to 15,745.42, 21,726.42 and 9,031.33

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Solution

The fourth proportional to 15,745.42, 21,726.42 and 9,031.33 is: 12,461.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,745.42 : 21,726.42 = 9,031.33 : x
  2. Step 2: Convert to fraction form
    15,745.42/21,726.42 = 9,031.33/x
  3. Step 3: Cross multiply
    15,745.42x = 21,726.42 × 9,031.33
  4. Step 4: Simplify right side
    15,745.42x = 196,218,468.74
  5. Step 5: Solve for x
    x = 196,218,468.74/15,745.42
  6. Step 6: Final answer
    x = 12,461.94

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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.