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Finding the Fourth Proportional to 9,181.54, 12,646.89 and 7,188.54

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Solution

The fourth proportional to 9,181.54, 12,646.89 and 7,188.54 is: 9,901.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,181.54 : 12,646.89 = 7,188.54 : x
  2. Step 2: Convert to fraction form
    9,181.54/12,646.89 = 7,188.54/x
  3. Step 3: Cross multiply
    9,181.54x = 12,646.89 × 7,188.54
  4. Step 4: Simplify right side
    9,181.54x = 90,912,674.64
  5. Step 5: Solve for x
    x = 90,912,674.64/9,181.54
  6. Step 6: Final answer
    x = 9,901.68

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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.