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Finding the Fourth Proportional to 2,415.66, 3,624.48 and 855.86

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Solution

The fourth proportional to 2,415.66, 3,624.48 and 855.86 is: 1,284.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.66 : 3,624.48 = 855.86 : x
  2. Step 2: Convert to fraction form
    2,415.66/3,624.48 = 855.86/x
  3. Step 3: Cross multiply
    2,415.66x = 3,624.48 × 855.86
  4. Step 4: Simplify right side
    2,415.66x = 3,102,047.45
  5. Step 5: Solve for x
    x = 3,102,047.45/2,415.66
  6. Step 6: Final answer
    x = 1,284.14

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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.