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Finding the Fourth Proportional to 9,470.92, 13,077.30 and 7,699.72

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Solution

The fourth proportional to 9,470.92, 13,077.30 and 7,699.72 is: 10,631.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.92 : 13,077.30 = 7,699.72 : x
  2. Step 2: Convert to fraction form
    9,470.92/13,077.30 = 7,699.72/x
  3. Step 3: Cross multiply
    9,470.92x = 13,077.30 × 7,699.72
  4. Step 4: Simplify right side
    9,470.92x = 100,691,548.36
  5. Step 5: Solve for x
    x = 100,691,548.36/9,470.92
  6. Step 6: Final answer
    x = 10,631.65

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1.5x scale

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.