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Finding the Fourth Proportional to 5,642.53, 8,464.54 and 1,943.77

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Solution

The fourth proportional to 5,642.53, 8,464.54 and 1,943.77 is: 2,915.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.53 : 8,464.54 = 1,943.77 : x
  2. Step 2: Convert to fraction form
    5,642.53/8,464.54 = 1,943.77/x
  3. Step 3: Cross multiply
    5,642.53x = 8,464.54 × 1,943.77
  4. Step 4: Simplify right side
    5,642.53x = 16,453,116.06
  5. Step 5: Solve for x
    x = 16,453,116.06/5,642.53
  6. Step 6: Final answer
    x = 2,915.91

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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.