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Finding the Fourth Proportional to 7,472.78, 11,208.77 and 2,278.25

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Solution

The fourth proportional to 7,472.78, 11,208.77 and 2,278.25 is: 3,417.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,472.78 : 11,208.77 = 2,278.25 : x
  2. Step 2: Convert to fraction form
    7,472.78/11,208.77 = 2,278.25/x
  3. Step 3: Cross multiply
    7,472.78x = 11,208.77 × 2,278.25
  4. Step 4: Simplify right side
    7,472.78x = 25,536,368.86
  5. Step 5: Solve for x
    x = 25,536,368.86/7,472.78
  6. Step 6: Final answer
    x = 3,417.25

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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.