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Finding the Fourth Proportional to 9,905.12, 13,670.88 and 6,760.16

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Solution

The fourth proportional to 9,905.12, 13,670.88 and 6,760.16 is: 9,330.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,905.12 : 13,670.88 = 6,760.16 : x
  2. Step 2: Convert to fraction form
    9,905.12/13,670.88 = 6,760.16/x
  3. Step 3: Cross multiply
    9,905.12x = 13,670.88 × 6,760.16
  4. Step 4: Simplify right side
    9,905.12x = 92,417,336.14
  5. Step 5: Solve for x
    x = 92,417,336.14/9,905.12
  6. Step 6: Final answer
    x = 9,330.26

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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.