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Finding the Fourth Proportional to 15,546, 21,454.08 and 8,831.88

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Solution

The fourth proportional to 15,546, 21,454.08 and 8,831.88 is: 12,188.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,546 : 21,454.08 = 8,831.88 : x
  2. Step 2: Convert to fraction form
    15,546/21,454.08 = 8,831.88/x
  3. Step 3: Cross multiply
    15,546x = 21,454.08 × 8,831.88
  4. Step 4: Simplify right side
    15,546x = 189,479,860.07
  5. Step 5: Solve for x
    x = 189,479,860.07/15,546
  6. Step 6: Final answer
    x = 12,188.34

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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.