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Finding the Fourth Proportional to 15,111, 20,853.72 and 8,823.24

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Solution

The fourth proportional to 15,111, 20,853.72 and 8,823.24 is: 12,176.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,111 : 20,853.72 = 8,823.24 : x
  2. Step 2: Convert to fraction form
    15,111/20,853.72 = 8,823.24/x
  3. Step 3: Cross multiply
    15,111x = 20,853.72 × 8,823.24
  4. Step 4: Simplify right side
    15,111x = 183,997,376.45
  5. Step 5: Solve for x
    x = 183,997,376.45/15,111
  6. Step 6: Final answer
    x = 12,176.39

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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.