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Finding the Fourth Proportional to 15,853.14, 21,877.30 and 8,780

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Solution

The fourth proportional to 15,853.14, 21,877.30 and 8,780 is: 12,116.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,853.14 : 21,877.30 = 8,780 : x
  2. Step 2: Convert to fraction form
    15,853.14/21,877.30 = 8,780/x
  3. Step 3: Cross multiply
    15,853.14x = 21,877.30 × 8,780
  4. Step 4: Simplify right side
    15,853.14x = 192,082,694
  5. Step 5: Solve for x
    x = 192,082,694/15,853.14
  6. Step 6: Final answer
    x = 12,116.38

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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.