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Finding the Fourth Proportional to 5,378.81, 8,068.21 and 1,913.63

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Solution

The fourth proportional to 5,378.81, 8,068.21 and 1,913.63 is: 2,870.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378.81 : 8,068.21 = 1,913.63 : x
  2. Step 2: Convert to fraction form
    5,378.81/8,068.21 = 1,913.63/x
  3. Step 3: Cross multiply
    5,378.81x = 8,068.21 × 1,913.63
  4. Step 4: Simplify right side
    5,378.81x = 15,439,523.58
  5. Step 5: Solve for x
    x = 15,439,523.58/5,378.81
  6. Step 6: Final answer
    x = 2,870.44

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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.