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Finding the Fourth Proportional to 9,757, 13,470.47 and 6,405.68

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Solution

The fourth proportional to 9,757, 13,470.47 and 6,405.68 is: 8,843.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757 : 13,470.47 = 6,405.68 : x
  2. Step 2: Convert to fraction form
    9,757/13,470.47 = 6,405.68/x
  3. Step 3: Cross multiply
    9,757x = 13,470.47 × 6,405.68
  4. Step 4: Simplify right side
    9,757x = 86,287,520.27
  5. Step 5: Solve for x
    x = 86,287,520.27/9,757
  6. Step 6: Final answer
    x = 8,843.65

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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.