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Finding the Fourth Proportional to 7,446.50, 10,276.48 and 4,089.46

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Solution

The fourth proportional to 7,446.50, 10,276.48 and 4,089.46 is: 5,643.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,446.50 : 10,276.48 = 4,089.46 : x
  2. Step 2: Convert to fraction form
    7,446.50/10,276.48 = 4,089.46/x
  3. Step 3: Cross multiply
    7,446.50x = 10,276.48 × 4,089.46
  4. Step 4: Simplify right side
    7,446.50x = 42,025,253.90
  5. Step 5: Solve for x
    x = 42,025,253.90/7,446.50
  6. Step 6: Final answer
    x = 5,643.63

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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.