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Finding the Fourth Proportional to 10,014.91, 15,035.10 and 8,169.64

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Solution

The fourth proportional to 10,014.91, 15,035.10 and 8,169.64 is: 12,264.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,014.91 : 15,035.10 = 8,169.64 : x
  2. Step 2: Convert to fraction form
    10,014.91/15,035.10 = 8,169.64/x
  3. Step 3: Cross multiply
    10,014.91x = 15,035.10 × 8,169.64
  4. Step 4: Simplify right side
    10,014.91x = 122,831,354.36
  5. Step 5: Solve for x
    x = 122,831,354.36/10,014.91
  6. Step 6: Final answer
    x = 12,264.85

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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.