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Finding the Fourth Proportional to 2,947.64, 4,420.22 and 1,715.90

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Solution

The fourth proportional to 2,947.64, 4,420.22 and 1,715.90 is: 2,573.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.64 : 4,420.22 = 1,715.90 : x
  2. Step 2: Convert to fraction form
    2,947.64/4,420.22 = 1,715.90/x
  3. Step 3: Cross multiply
    2,947.64x = 4,420.22 × 1,715.90
  4. Step 4: Simplify right side
    2,947.64x = 7,584,624.82
  5. Step 5: Solve for x
    x = 7,584,624.82/2,947.64
  6. Step 6: Final answer
    x = 2,573.12

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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.