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Finding the Fourth Proportional to 15,853.78, 21,878.40 and 8,780.32

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Solution

The fourth proportional to 15,853.78, 21,878.40 and 8,780.32 is: 12,116.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,853.78 : 21,878.40 = 8,780.32 : x
  2. Step 2: Convert to fraction form
    15,853.78/21,878.40 = 8,780.32/x
  3. Step 3: Cross multiply
    15,853.78x = 21,878.40 × 8,780.32
  4. Step 4: Simplify right side
    15,853.78x = 192,099,353.09
  5. Step 5: Solve for x
    x = 192,099,353.09/15,853.78
  6. Step 6: Final answer
    x = 12,116.94

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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.