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Finding the Fourth Proportional to 14,447.79, 19,935.84 and 8,478.09

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Solution

The fourth proportional to 14,447.79, 19,935.84 and 8,478.09 is: 11,698.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,447.79 : 19,935.84 = 8,478.09 : x
  2. Step 2: Convert to fraction form
    14,447.79/19,935.84 = 8,478.09/x
  3. Step 3: Cross multiply
    14,447.79x = 19,935.84 × 8,478.09
  4. Step 4: Simplify right side
    14,447.79x = 169,017,845.75
  5. Step 5: Solve for x
    x = 169,017,845.75/14,447.79
  6. Step 6: Final answer
    x = 11,698.53

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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.