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Finding the Fourth Proportional to 7,498.68, 11,238.90 and 5,643.83

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Solution

The fourth proportional to 7,498.68, 11,238.90 and 5,643.83 is: 8,458.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,498.68 : 11,238.90 = 5,643.83 : x
  2. Step 2: Convert to fraction form
    7,498.68/11,238.90 = 5,643.83/x
  3. Step 3: Cross multiply
    7,498.68x = 11,238.90 × 5,643.83
  4. Step 4: Simplify right side
    7,498.68x = 63,430,416.45
  5. Step 5: Solve for x
    x = 63,430,416.45/7,498.68
  6. Step 6: Final answer
    x = 8,458.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.