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Finding the Fourth Proportional to 4,764.48, 7,147.40 and 1,643.66

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Solution

The fourth proportional to 4,764.48, 7,147.40 and 1,643.66 is: 2,465.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.48 : 7,147.40 = 1,643.66 : x
  2. Step 2: Convert to fraction form
    4,764.48/7,147.40 = 1,643.66/x
  3. Step 3: Cross multiply
    4,764.48x = 7,147.40 × 1,643.66
  4. Step 4: Simplify right side
    4,764.48x = 11,747,895.48
  5. Step 5: Solve for x
    x = 11,747,895.48/4,764.48
  6. Step 6: Final answer
    x = 2,465.72

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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.