Home / 10,970.18-15,138.57-6,494

Finding the Fourth Proportional to 10,970.18, 15,138.57 and 6,494

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Solution

The fourth proportional to 10,970.18, 15,138.57 and 6,494 is: 8,961.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,970.18 : 15,138.57 = 6,494 : x
  2. Step 2: Convert to fraction form
    10,970.18/15,138.57 = 6,494/x
  3. Step 3: Cross multiply
    10,970.18x = 15,138.57 × 6,494
  4. Step 4: Simplify right side
    10,970.18x = 98,309,873.58
  5. Step 5: Solve for x
    x = 98,309,873.58/10,970.18
  6. Step 6: Final answer
    x = 8,961.56

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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.