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Finding the Fourth Proportional to 15,831.20, 21,846.96 and 8,757.47

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Solution

The fourth proportional to 15,831.20, 21,846.96 and 8,757.47 is: 12,085.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,831.20 : 21,846.96 = 8,757.47 : x
  2. Step 2: Convert to fraction form
    15,831.20/21,846.96 = 8,757.47/x
  3. Step 3: Cross multiply
    15,831.20x = 21,846.96 × 8,757.47
  4. Step 4: Simplify right side
    15,831.20x = 191,323,987.56
  5. Step 5: Solve for x
    x = 191,323,987.56/15,831.20
  6. Step 6: Final answer
    x = 12,085.25

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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.