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Finding the Fourth Proportional to 2,978.60, 4,468.26 and 1,247

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Solution

The fourth proportional to 2,978.60, 4,468.26 and 1,247 is: 1,870.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.60 : 4,468.26 = 1,247 : x
  2. Step 2: Convert to fraction form
    2,978.60/4,468.26 = 1,247/x
  3. Step 3: Cross multiply
    2,978.60x = 4,468.26 × 1,247
  4. Step 4: Simplify right side
    2,978.60x = 5,571,920.22
  5. Step 5: Solve for x
    x = 5,571,920.22/2,978.60
  6. Step 6: Final answer
    x = 1,870.65

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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.