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Finding the Fourth Proportional to 15,827.50, 21,840.06 and 8,752.96

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Solution

The fourth proportional to 15,827.50, 21,840.06 and 8,752.96 is: 12,078.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,827.50 : 21,840.06 = 8,752.96 : x
  2. Step 2: Convert to fraction form
    15,827.50/21,840.06 = 8,752.96/x
  3. Step 3: Cross multiply
    15,827.50x = 21,840.06 × 8,752.96
  4. Step 4: Simplify right side
    15,827.50x = 191,165,171.58
  5. Step 5: Solve for x
    x = 191,165,171.58/15,827.50
  6. Step 6: Final answer
    x = 12,078.04

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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.