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Finding the Fourth Proportional to 15,213.85, 22,822.11 and 5,353.21

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Solution

The fourth proportional to 15,213.85, 22,822.11 and 5,353.21 is: 8,030.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,213.85 : 22,822.11 = 5,353.21 : x
  2. Step 2: Convert to fraction form
    15,213.85/22,822.11 = 5,353.21/x
  3. Step 3: Cross multiply
    15,213.85x = 22,822.11 × 5,353.21
  4. Step 4: Simplify right side
    15,213.85x = 122,171,547.47
  5. Step 5: Solve for x
    x = 122,171,547.47/15,213.85
  6. Step 6: Final answer
    x = 8,030.28

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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.