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Finding the Fourth Proportional to 15,828.24, 21,842.88 and 8,754.64

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Solution

The fourth proportional to 15,828.24, 21,842.88 and 8,754.64 is: 12,081.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,828.24 : 21,842.88 = 8,754.64 : x
  2. Step 2: Convert to fraction form
    15,828.24/21,842.88 = 8,754.64/x
  3. Step 3: Cross multiply
    15,828.24x = 21,842.88 × 8,754.64
  4. Step 4: Simplify right side
    15,828.24x = 191,226,550.96
  5. Step 5: Solve for x
    x = 191,226,550.96/15,828.24
  6. Step 6: Final answer
    x = 12,081.35

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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.