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Finding the Fourth Proportional to 9,160.81, 12,642.19 and 5,181.84

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Solution

The fourth proportional to 9,160.81, 12,642.19 and 5,181.84 is: 7,151.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,160.81 : 12,642.19 = 5,181.84 : x
  2. Step 2: Convert to fraction form
    9,160.81/12,642.19 = 5,181.84/x
  3. Step 3: Cross multiply
    9,160.81x = 12,642.19 × 5,181.84
  4. Step 4: Simplify right side
    9,160.81x = 65,509,805.83
  5. Step 5: Solve for x
    x = 65,509,805.83/9,160.81
  6. Step 6: Final answer
    x = 7,151.09

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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.