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Finding the Fourth Proportional to 11,919.95, 16,455.65 and 8,398.88

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Solution

The fourth proportional to 11,919.95, 16,455.65 and 8,398.88 is: 11,594.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,919.95 : 16,455.65 = 8,398.88 : x
  2. Step 2: Convert to fraction form
    11,919.95/16,455.65 = 8,398.88/x
  3. Step 3: Cross multiply
    11,919.95x = 16,455.65 × 8,398.88
  4. Step 4: Simplify right side
    11,919.95x = 138,209,029.67
  5. Step 5: Solve for x
    x = 138,209,029.67/11,919.95
  6. Step 6: Final answer
    x = 11,594.77

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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.