Home / 11,137.02-15,371.55-7,782

Finding the Fourth Proportional to 11,137.02, 15,371.55 and 7,782

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Solution

The fourth proportional to 11,137.02, 15,371.55 and 7,782 is: 10,740.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,137.02 : 15,371.55 = 7,782 : x
  2. Step 2: Convert to fraction form
    11,137.02/15,371.55 = 7,782/x
  3. Step 3: Cross multiply
    11,137.02x = 15,371.55 × 7,782
  4. Step 4: Simplify right side
    11,137.02x = 119,621,402.10
  5. Step 5: Solve for x
    x = 119,621,402.10/11,137.02
  6. Step 6: Final answer
    x = 10,740.88

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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.