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Finding the Fourth Proportional to 4,945.88, 7,407.75 and 4,278.98

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Solution

The fourth proportional to 4,945.88, 7,407.75 and 4,278.98 is: 6,408.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,945.88 : 7,407.75 = 4,278.98 : x
  2. Step 2: Convert to fraction form
    4,945.88/7,407.75 = 4,278.98/x
  3. Step 3: Cross multiply
    4,945.88x = 7,407.75 × 4,278.98
  4. Step 4: Simplify right side
    4,945.88x = 31,697,614.10
  5. Step 5: Solve for x
    x = 31,697,614.10/4,945.88
  6. Step 6: Final answer
    x = 6,408.89

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1.5x scale

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.