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Finding the Fourth Proportional to 10,879.72, 16,307.34 and 6,488

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Solution

The fourth proportional to 10,879.72, 16,307.34 and 6,488 is: 9,724.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,879.72 : 16,307.34 = 6,488 : x
  2. Step 2: Convert to fraction form
    10,879.72/16,307.34 = 6,488/x
  3. Step 3: Cross multiply
    10,879.72x = 16,307.34 × 6,488
  4. Step 4: Simplify right side
    10,879.72x = 105,802,021.92
  5. Step 5: Solve for x
    x = 105,802,021.92/10,879.72
  6. Step 6: Final answer
    x = 9,724.70

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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.