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Finding the Fourth Proportional to 2,417.58, 3,624.21 and 878.22

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Solution

The fourth proportional to 2,417.58, 3,624.21 and 878.22 is: 1,316.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,417.58 : 3,624.21 = 878.22 : x
  2. Step 2: Convert to fraction form
    2,417.58/3,624.21 = 878.22/x
  3. Step 3: Cross multiply
    2,417.58x = 3,624.21 × 878.22
  4. Step 4: Simplify right side
    2,417.58x = 3,182,853.71
  5. Step 5: Solve for x
    x = 3,182,853.71/2,417.58
  6. Step 6: Final answer
    x = 1,316.55

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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.