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Finding the Fourth Proportional to 4,550, 6,279.08 and 2,978.08

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Solution

The fourth proportional to 4,550, 6,279.08 and 2,978.08 is: 4,109.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,550 : 6,279.08 = 2,978.08 : x
  2. Step 2: Convert to fraction form
    4,550/6,279.08 = 2,978.08/x
  3. Step 3: Cross multiply
    4,550x = 6,279.08 × 2,978.08
  4. Step 4: Simplify right side
    4,550x = 18,699,602.57
  5. Step 5: Solve for x
    x = 18,699,602.57/4,550
  6. Step 6: Final answer
    x = 4,109.80

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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.