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Finding the Fourth Proportional to 7,454.82, 10,288.30 and 4,098.28

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Solution

The fourth proportional to 7,454.82, 10,288.30 and 4,098.28 is: 5,655.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,454.82 : 10,288.30 = 4,098.28 : x
  2. Step 2: Convert to fraction form
    7,454.82/10,288.30 = 4,098.28/x
  3. Step 3: Cross multiply
    7,454.82x = 10,288.30 × 4,098.28
  4. Step 4: Simplify right side
    7,454.82x = 42,164,385.83
  5. Step 5: Solve for x
    x = 42,164,385.83/7,454.82
  6. Step 6: Final answer
    x = 5,655.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.