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Finding the Fourth Proportional to 6,490.32, 8,947.80 and 4,722

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Solution

The fourth proportional to 6,490.32, 8,947.80 and 4,722 is: 6,509.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.32 : 8,947.80 = 4,722 : x
  2. Step 2: Convert to fraction form
    6,490.32/8,947.80 = 4,722/x
  3. Step 3: Cross multiply
    6,490.32x = 8,947.80 × 4,722
  4. Step 4: Simplify right side
    6,490.32x = 42,251,511.60
  5. Step 5: Solve for x
    x = 42,251,511.60/6,490.32
  6. Step 6: Final answer
    x = 6,509.93

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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.