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Finding the Fourth Proportional to 5,164.64, 7,747 and 1,269.08

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Solution

The fourth proportional to 5,164.64, 7,747 and 1,269.08 is: 1,903.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.64 : 7,747 = 1,269.08 : x
  2. Step 2: Convert to fraction form
    5,164.64/7,747 = 1,269.08/x
  3. Step 3: Cross multiply
    5,164.64x = 7,747 × 1,269.08
  4. Step 4: Simplify right side
    5,164.64x = 9,831,562.76
  5. Step 5: Solve for x
    x = 9,831,562.76/5,164.64
  6. Step 6: Final answer
    x = 1,903.63

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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.