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Finding the Fourth Proportional to 5,387.41, 7,419.49 and 4,447

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Solution

The fourth proportional to 5,387.41, 7,419.49 and 4,447 is: 6,124.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,387.41 : 7,419.49 = 4,447 : x
  2. Step 2: Convert to fraction form
    5,387.41/7,419.49 = 4,447/x
  3. Step 3: Cross multiply
    5,387.41x = 7,419.49 × 4,447
  4. Step 4: Simplify right side
    5,387.41x = 32,994,472.03
  5. Step 5: Solve for x
    x = 32,994,472.03/5,387.41
  6. Step 6: Final answer
    x = 6,124.37

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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.