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Finding the Fourth Proportional to 16,866, 25,281.72 and 7,011

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Solution

The fourth proportional to 16,866, 25,281.72 and 7,011 is: 10,509.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,866 : 25,281.72 = 7,011 : x
  2. Step 2: Convert to fraction form
    16,866/25,281.72 = 7,011/x
  3. Step 3: Cross multiply
    16,866x = 25,281.72 × 7,011
  4. Step 4: Simplify right side
    16,866x = 177,250,138.92
  5. Step 5: Solve for x
    x = 177,250,138.92/16,866
  6. Step 6: Final answer
    x = 10,509.32

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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.