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Finding the Fourth Proportional to 5,538.71, 8,308.00 and 1,378.76

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Solution

The fourth proportional to 5,538.71, 8,308.00 and 1,378.76 is: 2,068.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,538.71 : 8,308.00 = 1,378.76 : x
  2. Step 2: Convert to fraction form
    5,538.71/8,308.00 = 1,378.76/x
  3. Step 3: Cross multiply
    5,538.71x = 8,308.00 × 1,378.76
  4. Step 4: Simplify right side
    5,538.71x = 11,454,698.26
  5. Step 5: Solve for x
    x = 11,454,698.26/5,538.71
  6. Step 6: Final answer
    x = 2,068.12

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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.