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Finding the Fourth Proportional to 9,808.61, 14,704.62 and 4,257.78

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Solution

The fourth proportional to 9,808.61, 14,704.62 and 4,257.78 is: 6,383.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.61 : 14,704.62 = 4,257.78 : x
  2. Step 2: Convert to fraction form
    9,808.61/14,704.62 = 4,257.78/x
  3. Step 3: Cross multiply
    9,808.61x = 14,704.62 × 4,257.78
  4. Step 4: Simplify right side
    9,808.61x = 62,609,036.94
  5. Step 5: Solve for x
    x = 62,609,036.94/9,808.61
  6. Step 6: Final answer
    x = 6,383.07

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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.