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Finding the Fourth Proportional to 10,420.53, 15,664.68 and 8,363.09

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Solution

The fourth proportional to 10,420.53, 15,664.68 and 8,363.09 is: 12,571.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.53 : 15,664.68 = 8,363.09 : x
  2. Step 2: Convert to fraction form
    10,420.53/15,664.68 = 8,363.09/x
  3. Step 3: Cross multiply
    10,420.53x = 15,664.68 × 8,363.09
  4. Step 4: Simplify right side
    10,420.53x = 131,005,050.34
  5. Step 5: Solve for x
    x = 131,005,050.34/10,420.53
  6. Step 6: Final answer
    x = 12,571.82

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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.