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Finding the Fourth Proportional to 15,157.92, 22,722 and 7,258.20

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Solution

The fourth proportional to 15,157.92, 22,722 and 7,258.20 is: 10,880.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,157.92 : 22,722 = 7,258.20 : x
  2. Step 2: Convert to fraction form
    15,157.92/22,722 = 7,258.20/x
  3. Step 3: Cross multiply
    15,157.92x = 22,722 × 7,258.20
  4. Step 4: Simplify right side
    15,157.92x = 164,920,820.40
  5. Step 5: Solve for x
    x = 164,920,820.40/15,157.92
  6. Step 6: Final answer
    x = 10,880.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.