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Finding the Fourth Proportional to 4,749.48, 6,553.85 and 2,978.01

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Solution

The fourth proportional to 4,749.48, 6,553.85 and 2,978.01 is: 4,109.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,749.48 : 6,553.85 = 2,978.01 : x
  2. Step 2: Convert to fraction form
    4,749.48/6,553.85 = 2,978.01/x
  3. Step 3: Cross multiply
    4,749.48x = 6,553.85 × 2,978.01
  4. Step 4: Simplify right side
    4,749.48x = 19,517,415.95
  5. Step 5: Solve for x
    x = 19,517,415.95/4,749.48
  6. Step 6: Final answer
    x = 4,109.38

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1.5x scale

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.