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Finding the Fourth Proportional to 12,781.99, 19,155.16 and 9,659.44

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Solution

The fourth proportional to 12,781.99, 19,155.16 and 9,659.44 is: 14,475.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,781.99 : 19,155.16 = 9,659.44 : x
  2. Step 2: Convert to fraction form
    12,781.99/19,155.16 = 9,659.44/x
  3. Step 3: Cross multiply
    12,781.99x = 19,155.16 × 9,659.44
  4. Step 4: Simplify right side
    12,781.99x = 185,028,118.71
  5. Step 5: Solve for x
    x = 185,028,118.71/12,781.99
  6. Step 6: Final answer
    x = 14,475.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.