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Finding the Fourth Proportional to 4,609.64, 6,915.23 and 1,490.43

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Solution

The fourth proportional to 4,609.64, 6,915.23 and 1,490.43 is: 2,235.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.64 : 6,915.23 = 1,490.43 : x
  2. Step 2: Convert to fraction form
    4,609.64/6,915.23 = 1,490.43/x
  3. Step 3: Cross multiply
    4,609.64x = 6,915.23 × 1,490.43
  4. Step 4: Simplify right side
    4,609.64x = 10,306,690.32
  5. Step 5: Solve for x
    x = 10,306,690.32/4,609.64
  6. Step 6: Final answer
    x = 2,235.90

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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.