Home / 10,599.20-15,909.84-7,829

Finding the Fourth Proportional to 10,599.20, 15,909.84 and 7,829

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Solution

The fourth proportional to 10,599.20, 15,909.84 and 7,829 is: 11,751.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,599.20 : 15,909.84 = 7,829 : x
  2. Step 2: Convert to fraction form
    10,599.20/15,909.84 = 7,829/x
  3. Step 3: Cross multiply
    10,599.20x = 15,909.84 × 7,829
  4. Step 4: Simplify right side
    10,599.20x = 124,558,137.36
  5. Step 5: Solve for x
    x = 124,558,137.36/10,599.20
  6. Step 6: Final answer
    x = 11,751.65

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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.