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Finding the Fourth Proportional to 4,947.62, 7,421.43 and 1,987.42

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Solution

The fourth proportional to 4,947.62, 7,421.43 and 1,987.42 is: 2,981.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.62 : 7,421.43 = 1,987.42 : x
  2. Step 2: Convert to fraction form
    4,947.62/7,421.43 = 1,987.42/x
  3. Step 3: Cross multiply
    4,947.62x = 7,421.43 × 1,987.42
  4. Step 4: Simplify right side
    4,947.62x = 14,749,498.41
  5. Step 5: Solve for x
    x = 14,749,498.41/4,947.62
  6. Step 6: Final answer
    x = 2,981.13

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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.