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Finding the Fourth Proportional to 15,780.80, 21,832.80 and 15,435.20

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Solution

The fourth proportional to 15,780.80, 21,832.80 and 15,435.20 is: 21,354.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,780.80 : 21,832.80 = 15,435.20 : x
  2. Step 2: Convert to fraction form
    15,780.80/21,832.80 = 15,435.20/x
  3. Step 3: Cross multiply
    15,780.80x = 21,832.80 × 15,435.20
  4. Step 4: Simplify right side
    15,780.80x = 336,993,634.56
  5. Step 5: Solve for x
    x = 336,993,634.56/15,780.80
  6. Step 6: Final answer
    x = 21,354.66

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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.