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Finding the Fourth Proportional to 3,116.40, 4,674.66 and 925.17

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Solution

The fourth proportional to 3,116.40, 4,674.66 and 925.17 is: 1,387.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.40 : 4,674.66 = 925.17 : x
  2. Step 2: Convert to fraction form
    3,116.40/4,674.66 = 925.17/x
  3. Step 3: Cross multiply
    3,116.40x = 4,674.66 × 925.17
  4. Step 4: Simplify right side
    3,116.40x = 4,324,855.19
  5. Step 5: Solve for x
    x = 4,324,855.19/3,116.40
  6. Step 6: Final answer
    x = 1,387.77

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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.