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Finding the Fourth Proportional to 15,093.12, 20,828.40 and 8,378.88

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Solution

The fourth proportional to 15,093.12, 20,828.40 and 8,378.88 is: 11,562.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,093.12 : 20,828.40 = 8,378.88 : x
  2. Step 2: Convert to fraction form
    15,093.12/20,828.40 = 8,378.88/x
  3. Step 3: Cross multiply
    15,093.12x = 20,828.40 × 8,378.88
  4. Step 4: Simplify right side
    15,093.12x = 174,518,664.19
  5. Step 5: Solve for x
    x = 174,518,664.19/15,093.12
  6. Step 6: Final answer
    x = 11,562.80

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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.