Home / 14,109.60-19,472.40-7,824

Finding the Fourth Proportional to 14,109.60, 19,472.40 and 7,824

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Solution

The fourth proportional to 14,109.60, 19,472.40 and 7,824 is: 10,797.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,109.60 : 19,472.40 = 7,824 : x
  2. Step 2: Convert to fraction form
    14,109.60/19,472.40 = 7,824/x
  3. Step 3: Cross multiply
    14,109.60x = 19,472.40 × 7,824
  4. Step 4: Simplify right side
    14,109.60x = 152,352,057.60
  5. Step 5: Solve for x
    x = 152,352,057.60/14,109.60
  6. Step 6: Final answer
    x = 10,797.76

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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.