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Finding the Fourth Proportional to 9,678.75, 13,269.71 and 9,503.79

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Solution

The fourth proportional to 9,678.75, 13,269.71 and 9,503.79 is: 13,029.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.75 : 13,269.71 = 9,503.79 : x
  2. Step 2: Convert to fraction form
    9,678.75/13,269.71 = 9,503.79/x
  3. Step 3: Cross multiply
    9,678.75x = 13,269.71 × 9,503.79
  4. Step 4: Simplify right side
    9,678.75x = 126,112,537.20
  5. Step 5: Solve for x
    x = 126,112,537.20/9,678.75
  6. Step 6: Final answer
    x = 13,029.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.