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Finding the Fourth Proportional to 15,782.72, 21,780.22 and 8,709.14

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Solution

The fourth proportional to 15,782.72, 21,780.22 and 8,709.14 is: 12,018.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782.72 : 21,780.22 = 8,709.14 : x
  2. Step 2: Convert to fraction form
    15,782.72/21,780.22 = 8,709.14/x
  3. Step 3: Cross multiply
    15,782.72x = 21,780.22 × 8,709.14
  4. Step 4: Simplify right side
    15,782.72x = 189,686,985.21
  5. Step 5: Solve for x
    x = 189,686,985.21/15,782.72
  6. Step 6: Final answer
    x = 12,018.65

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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.