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Finding the Fourth Proportional to 3,342.74, 5,014.30 and 877.58

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Solution

The fourth proportional to 3,342.74, 5,014.30 and 877.58 is: 1,316.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,342.74 : 5,014.30 = 877.58 : x
  2. Step 2: Convert to fraction form
    3,342.74/5,014.30 = 877.58/x
  3. Step 3: Cross multiply
    3,342.74x = 5,014.30 × 877.58
  4. Step 4: Simplify right side
    3,342.74x = 4,400,449.39
  5. Step 5: Solve for x
    x = 4,400,449.39/3,342.74
  6. Step 6: Final answer
    x = 1,316.42

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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.