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Finding the Fourth Proportional to 10,663.86, 16,006.74 and 10,270.20

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Solution

The fourth proportional to 10,663.86, 16,006.74 and 10,270.20 is: 15,415.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,663.86 : 16,006.74 = 10,270.20 : x
  2. Step 2: Convert to fraction form
    10,663.86/16,006.74 = 10,270.20/x
  3. Step 3: Cross multiply
    10,663.86x = 16,006.74 × 10,270.20
  4. Step 4: Simplify right side
    10,663.86x = 164,392,421.15
  5. Step 5: Solve for x
    x = 164,392,421.15/10,663.86
  6. Step 6: Final answer
    x = 15,415.85

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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.