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Finding the Fourth Proportional to 9,771, 13,480.74 and 6,235.35

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Solution

The fourth proportional to 9,771, 13,480.74 and 6,235.35 is: 8,602.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771 : 13,480.74 = 6,235.35 : x
  2. Step 2: Convert to fraction form
    9,771/13,480.74 = 6,235.35/x
  3. Step 3: Cross multiply
    9,771x = 13,480.74 × 6,235.35
  4. Step 4: Simplify right side
    9,771x = 84,057,132.16
  5. Step 5: Solve for x
    x = 84,057,132.16/9,771
  6. Step 6: Final answer
    x = 8,602.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.