Home / 10,970.82-15,146.82-6,781.50

Finding the Fourth Proportional to 10,970.82, 15,146.82 and 6,781.50

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Solution

The fourth proportional to 10,970.82, 15,146.82 and 6,781.50 is: 9,362.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,970.82 : 15,146.82 = 6,781.50 : x
  2. Step 2: Convert to fraction form
    10,970.82/15,146.82 = 6,781.50/x
  3. Step 3: Cross multiply
    10,970.82x = 15,146.82 × 6,781.50
  4. Step 4: Simplify right side
    10,970.82x = 102,718,159.83
  5. Step 5: Solve for x
    x = 102,718,159.83/10,970.82
  6. Step 6: Final answer
    x = 9,362.85

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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.