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Finding the Fourth Proportional to 4,651.72, 6,978.30 and 1,573

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Solution

The fourth proportional to 4,651.72, 6,978.30 and 1,573 is: 2,359.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.72 : 6,978.30 = 1,573 : x
  2. Step 2: Convert to fraction form
    4,651.72/6,978.30 = 1,573/x
  3. Step 3: Cross multiply
    4,651.72x = 6,978.30 × 1,573
  4. Step 4: Simplify right side
    4,651.72x = 10,976,865.90
  5. Step 5: Solve for x
    x = 10,976,865.90/4,651.72
  6. Step 6: Final answer
    x = 2,359.74

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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.