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Finding the Fourth Proportional to 15,782.60, 21,780.06 and 8,709.02

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Solution

The fourth proportional to 15,782.60, 21,780.06 and 8,709.02 is: 12,018.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782.60 : 21,780.06 = 8,709.02 : x
  2. Step 2: Convert to fraction form
    15,782.60/21,780.06 = 8,709.02/x
  3. Step 3: Cross multiply
    15,782.60x = 21,780.06 × 8,709.02
  4. Step 4: Simplify right side
    15,782.60x = 189,682,978.14
  5. Step 5: Solve for x
    x = 189,682,978.14/15,782.60
  6. Step 6: Final answer
    x = 12,018.49

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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.