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Finding the Fourth Proportional to 2,670.76, 4,005.83 and 722.81

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Solution

The fourth proportional to 2,670.76, 4,005.83 and 722.81 is: 1,084.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.76 : 4,005.83 = 722.81 : x
  2. Step 2: Convert to fraction form
    2,670.76/4,005.83 = 722.81/x
  3. Step 3: Cross multiply
    2,670.76x = 4,005.83 × 722.81
  4. Step 4: Simplify right side
    2,670.76x = 2,895,465.80
  5. Step 5: Solve for x
    x = 2,895,465.80/2,670.76
  6. Step 6: Final answer
    x = 1,084.14

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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.