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Finding the Fourth Proportional to 3,880.41, 5,823 and 1,689.32

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Solution

The fourth proportional to 3,880.41, 5,823 and 1,689.32 is: 2,535.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.41 : 5,823 = 1,689.32 : x
  2. Step 2: Convert to fraction form
    3,880.41/5,823 = 1,689.32/x
  3. Step 3: Cross multiply
    3,880.41x = 5,823 × 1,689.32
  4. Step 4: Simplify right side
    3,880.41x = 9,836,881.25
  5. Step 5: Solve for x
    x = 9,836,881.25/3,880.41
  6. Step 6: Final answer
    x = 2,535.01

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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.