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Finding the Fourth Proportional to 9,386.80, 14,072.10 and 4,769.80

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Solution

The fourth proportional to 9,386.80, 14,072.10 and 4,769.80 is: 7,150.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386.80 : 14,072.10 = 4,769.80 : x
  2. Step 2: Convert to fraction form
    9,386.80/14,072.10 = 4,769.80/x
  3. Step 3: Cross multiply
    9,386.80x = 14,072.10 × 4,769.80
  4. Step 4: Simplify right side
    9,386.80x = 67,121,102.58
  5. Step 5: Solve for x
    x = 67,121,102.58/9,386.80
  6. Step 6: Final answer
    x = 7,150.58

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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.