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Finding the Fourth Proportional to 7,435.92, 10,261 and 4,290

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Solution

The fourth proportional to 7,435.92, 10,261 and 4,290 is: 5,919.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,435.92 : 10,261 = 4,290 : x
  2. Step 2: Convert to fraction form
    7,435.92/10,261 = 4,290/x
  3. Step 3: Cross multiply
    7,435.92x = 10,261 × 4,290
  4. Step 4: Simplify right side
    7,435.92x = 44,019,690
  5. Step 5: Solve for x
    x = 44,019,690/7,435.92
  6. Step 6: Final answer
    x = 5,919.87

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Why These Related Problems?

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