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Finding the Fourth Proportional to 2,869.17, 4,304.21 and 920.94

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Solution

The fourth proportional to 2,869.17, 4,304.21 and 920.94 is: 1,381.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.17 : 4,304.21 = 920.94 : x
  2. Step 2: Convert to fraction form
    2,869.17/4,304.21 = 920.94/x
  3. Step 3: Cross multiply
    2,869.17x = 4,304.21 × 920.94
  4. Step 4: Simplify right side
    2,869.17x = 3,963,914.55
  5. Step 5: Solve for x
    x = 3,963,914.55/2,869.17
  6. Step 6: Final answer
    x = 1,381.55

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1.5x scale

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.