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Finding the Fourth Proportional to 19,785.66, 29,678.48 and 6,638.00

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Solution

The fourth proportional to 19,785.66, 29,678.48 and 6,638.00 is: 9,956.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,785.66 : 29,678.48 = 6,638.00 : x
  2. Step 2: Convert to fraction form
    19,785.66/29,678.48 = 6,638.00/x
  3. Step 3: Cross multiply
    19,785.66x = 29,678.48 × 6,638.00
  4. Step 4: Simplify right side
    19,785.66x = 197,005,568.66
  5. Step 5: Solve for x
    x = 197,005,568.66/19,785.66
  6. Step 6: Final answer
    x = 9,956.99

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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.