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Finding the Fourth Proportional to 4,369.50, 6,554.43 and 1,291.50

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Solution

The fourth proportional to 4,369.50, 6,554.43 and 1,291.50 is: 1,937.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,369.50 : 6,554.43 = 1,291.50 : x
  2. Step 2: Convert to fraction form
    4,369.50/6,554.43 = 1,291.50/x
  3. Step 3: Cross multiply
    4,369.50x = 6,554.43 × 1,291.50
  4. Step 4: Simplify right side
    4,369.50x = 8,465,046.35
  5. Step 5: Solve for x
    x = 8,465,046.35/4,369.50
  6. Step 6: Final answer
    x = 1,937.30

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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.