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Finding the Fourth Proportional to 2,947.61, 4,421.47 and 2,359.88

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Solution

The fourth proportional to 2,947.61, 4,421.47 and 2,359.88 is: 3,539.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.61 : 4,421.47 = 2,359.88 : x
  2. Step 2: Convert to fraction form
    2,947.61/4,421.47 = 2,359.88/x
  3. Step 3: Cross multiply
    2,947.61x = 4,421.47 × 2,359.88
  4. Step 4: Simplify right side
    2,947.61x = 10,434,138.62
  5. Step 5: Solve for x
    x = 10,434,138.62/2,947.61
  6. Step 6: Final answer
    x = 3,539.86

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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.