Home / 11,117.84-16,658.24-7,824

Finding the Fourth Proportional to 11,117.84, 16,658.24 and 7,824

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Solution

The fourth proportional to 11,117.84, 16,658.24 and 7,824 is: 11,722.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,117.84 : 16,658.24 = 7,824 : x
  2. Step 2: Convert to fraction form
    11,117.84/16,658.24 = 7,824/x
  3. Step 3: Cross multiply
    11,117.84x = 16,658.24 × 7,824
  4. Step 4: Simplify right side
    11,117.84x = 130,334,069.76
  5. Step 5: Solve for x
    x = 130,334,069.76/11,117.84
  6. Step 6: Final answer
    x = 11,722.97

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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.