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Finding the Fourth Proportional to 4,290, 6,435.96 and 1,516.64

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Solution

The fourth proportional to 4,290, 6,435.96 and 1,516.64 is: 2,275.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,290 : 6,435.96 = 1,516.64 : x
  2. Step 2: Convert to fraction form
    4,290/6,435.96 = 1,516.64/x
  3. Step 3: Cross multiply
    4,290x = 6,435.96 × 1,516.64
  4. Step 4: Simplify right side
    4,290x = 9,761,034.37
  5. Step 5: Solve for x
    x = 9,761,034.37/4,290
  6. Step 6: Final answer
    x = 2,275.30

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Why These Related Problems?

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