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Finding the Fourth Proportional to 15,219.48, 22,844.74 and 8,199.20

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Solution

The fourth proportional to 15,219.48, 22,844.74 and 8,199.20 is: 12,307.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,219.48 : 22,844.74 = 8,199.20 : x
  2. Step 2: Convert to fraction form
    15,219.48/22,844.74 = 8,199.20/x
  3. Step 3: Cross multiply
    15,219.48x = 22,844.74 × 8,199.20
  4. Step 4: Simplify right side
    15,219.48x = 187,308,592.21
  5. Step 5: Solve for x
    x = 187,308,592.21/15,219.48
  6. Step 6: Final answer
    x = 12,307.16

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1.5x scale

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.