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Finding the Fourth Proportional to 4,978.48, 6,870 and 2,882.20

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Solution

The fourth proportional to 4,978.48, 6,870 and 2,882.20 is: 3,977.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.48 : 6,870 = 2,882.20 : x
  2. Step 2: Convert to fraction form
    4,978.48/6,870 = 2,882.20/x
  3. Step 3: Cross multiply
    4,978.48x = 6,870 × 2,882.20
  4. Step 4: Simplify right side
    4,978.48x = 19,800,714
  5. Step 5: Solve for x
    x = 19,800,714/4,978.48
  6. Step 6: Final answer
    x = 3,977.26

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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.