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Finding the Fourth Proportional to 10,879.50, 16,237.05 and 9,829.74

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Solution

The fourth proportional to 10,879.50, 16,237.05 and 9,829.74 is: 14,670.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,879.50 : 16,237.05 = 9,829.74 : x
  2. Step 2: Convert to fraction form
    10,879.50/16,237.05 = 9,829.74/x
  3. Step 3: Cross multiply
    10,879.50x = 16,237.05 × 9,829.74
  4. Step 4: Simplify right side
    10,879.50x = 159,605,979.87
  5. Step 5: Solve for x
    x = 159,605,979.87/10,879.50
  6. Step 6: Final answer
    x = 14,670.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.