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Finding the Fourth Proportional to 9,798.78, 14,677.81 and 4,786.02

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Solution

The fourth proportional to 9,798.78, 14,677.81 and 4,786.02 is: 7,169.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.78 : 14,677.81 = 4,786.02 : x
  2. Step 2: Convert to fraction form
    9,798.78/14,677.81 = 4,786.02/x
  3. Step 3: Cross multiply
    9,798.78x = 14,677.81 × 4,786.02
  4. Step 4: Simplify right side
    9,798.78x = 70,248,292.22
  5. Step 5: Solve for x
    x = 70,248,292.22/9,798.78
  6. Step 6: Final answer
    x = 7,169.09

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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.