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Finding the Fourth Proportional to 4,269.62, 6,403.71 and 1,347.50

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Solution

The fourth proportional to 4,269.62, 6,403.71 and 1,347.50 is: 2,021.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,269.62 : 6,403.71 = 1,347.50 : x
  2. Step 2: Convert to fraction form
    4,269.62/6,403.71 = 1,347.50/x
  3. Step 3: Cross multiply
    4,269.62x = 6,403.71 × 1,347.50
  4. Step 4: Simplify right side
    4,269.62x = 8,628,999.23
  5. Step 5: Solve for x
    x = 8,628,999.23/4,269.62
  6. Step 6: Final answer
    x = 2,021.02

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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.