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Finding the Fourth Proportional to 7,374.57, 10,176.49 and 4,230.76

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Solution

The fourth proportional to 7,374.57, 10,176.49 and 4,230.76 is: 5,838.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,374.57 : 10,176.49 = 4,230.76 : x
  2. Step 2: Convert to fraction form
    7,374.57/10,176.49 = 4,230.76/x
  3. Step 3: Cross multiply
    7,374.57x = 10,176.49 × 4,230.76
  4. Step 4: Simplify right side
    7,374.57x = 43,054,214.80
  5. Step 5: Solve for x
    x = 43,054,214.80/7,374.57
  6. Step 6: Final answer
    x = 5,838.20

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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.