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Finding the Fourth Proportional to 9,753.75, 13,460.36 and 6,964.11

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Solution

The fourth proportional to 9,753.75, 13,460.36 and 6,964.11 is: 9,610.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,753.75 : 13,460.36 = 6,964.11 : x
  2. Step 2: Convert to fraction form
    9,753.75/13,460.36 = 6,964.11/x
  3. Step 3: Cross multiply
    9,753.75x = 13,460.36 × 6,964.11
  4. Step 4: Simplify right side
    9,753.75x = 93,739,392.86
  5. Step 5: Solve for x
    x = 93,739,392.86/9,753.75
  6. Step 6: Final answer
    x = 9,610.60

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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.