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Finding the Fourth Proportional to 19,783.89, 29,662.00 and 9,917.79

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Solution

The fourth proportional to 19,783.89, 29,662.00 and 9,917.79 is: 14,869.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,783.89 : 29,662.00 = 9,917.79 : x
  2. Step 2: Convert to fraction form
    19,783.89/29,662.00 = 9,917.79/x
  3. Step 3: Cross multiply
    19,783.89x = 29,662.00 × 9,917.79
  4. Step 4: Simplify right side
    19,783.89x = 294,181,439.64
  5. Step 5: Solve for x
    x = 294,181,439.64/19,783.89
  6. Step 6: Final answer
    x = 14,869.75

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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.