Home / 10,511.84-15,756.72-9,965

Finding the Fourth Proportional to 10,511.84, 15,756.72 and 9,965

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Solution

The fourth proportional to 10,511.84, 15,756.72 and 9,965 is: 14,937.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,511.84 : 15,756.72 = 9,965 : x
  2. Step 2: Convert to fraction form
    10,511.84/15,756.72 = 9,965/x
  3. Step 3: Cross multiply
    10,511.84x = 15,756.72 × 9,965
  4. Step 4: Simplify right side
    10,511.84x = 157,015,714.80
  5. Step 5: Solve for x
    x = 157,015,714.80/10,511.84
  6. Step 6: Final answer
    x = 14,937.03

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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.