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Finding the Fourth Proportional to 9,412.12, 13,005.64 and 6,754.88

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Solution

The fourth proportional to 9,412.12, 13,005.64 and 6,754.88 is: 9,333.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.12 : 13,005.64 = 6,754.88 : x
  2. Step 2: Convert to fraction form
    9,412.12/13,005.64 = 6,754.88/x
  3. Step 3: Cross multiply
    9,412.12x = 13,005.64 × 6,754.88
  4. Step 4: Simplify right side
    9,412.12x = 87,851,537.52
  5. Step 5: Solve for x
    x = 87,851,537.52/9,412.12
  6. Step 6: Final answer
    x = 9,333.87

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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.