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Finding the Fourth Proportional to 11,946.69, 16,488.47 and 6,914

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Solution

The fourth proportional to 11,946.69, 16,488.47 and 6,914 is: 9,542.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,946.69 : 16,488.47 = 6,914 : x
  2. Step 2: Convert to fraction form
    11,946.69/16,488.47 = 6,914/x
  3. Step 3: Cross multiply
    11,946.69x = 16,488.47 × 6,914
  4. Step 4: Simplify right side
    11,946.69x = 114,001,281.58
  5. Step 5: Solve for x
    x = 114,001,281.58/11,946.69
  6. Step 6: Final answer
    x = 9,542.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.