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Finding the Fourth Proportional to 15,782.84, 21,780.25 and 8,709.31

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Solution

The fourth proportional to 15,782.84, 21,780.25 and 8,709.31 is: 12,018.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782.84 : 21,780.25 = 8,709.31 : x
  2. Step 2: Convert to fraction form
    15,782.84/21,780.25 = 8,709.31/x
  3. Step 3: Cross multiply
    15,782.84x = 21,780.25 × 8,709.31
  4. Step 4: Simplify right side
    15,782.84x = 189,690,949.13
  5. Step 5: Solve for x
    x = 189,690,949.13/15,782.84
  6. Step 6: Final answer
    x = 12,018.81

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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.