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Finding the Fourth Proportional to 7,181.65, 9,915.78 and 5,201.20

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Solution

The fourth proportional to 7,181.65, 9,915.78 and 5,201.20 is: 7,181.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,181.65 : 9,915.78 = 5,201.20 : x
  2. Step 2: Convert to fraction form
    7,181.65/9,915.78 = 5,201.20/x
  3. Step 3: Cross multiply
    7,181.65x = 9,915.78 × 5,201.20
  4. Step 4: Simplify right side
    7,181.65x = 51,573,954.94
  5. Step 5: Solve for x
    x = 51,573,954.94/7,181.65
  6. Step 6: Final answer
    x = 7,181.35

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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.