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Finding the Fourth Proportional to 9,266.32, 12,780.08 and 8,205.12

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Solution

The fourth proportional to 9,266.32, 12,780.08 and 8,205.12 is: 11,316.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,266.32 : 12,780.08 = 8,205.12 : x
  2. Step 2: Convert to fraction form
    9,266.32/12,780.08 = 8,205.12/x
  3. Step 3: Cross multiply
    9,266.32x = 12,780.08 × 8,205.12
  4. Step 4: Simplify right side
    9,266.32x = 104,862,090.01
  5. Step 5: Solve for x
    x = 104,862,090.01/9,266.32
  6. Step 6: Final answer
    x = 11,316.48

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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.