Home / 10,787-16,184.37-4,217.90

Finding the Fourth Proportional to 10,787, 16,184.37 and 4,217.90

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Solution

The fourth proportional to 10,787, 16,184.37 and 4,217.90 is: 6,328.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,787 : 16,184.37 = 4,217.90 : x
  2. Step 2: Convert to fraction form
    10,787/16,184.37 = 4,217.90/x
  3. Step 3: Cross multiply
    10,787x = 16,184.37 × 4,217.90
  4. Step 4: Simplify right side
    10,787x = 68,264,054.22
  5. Step 5: Solve for x
    x = 68,264,054.22/10,787
  6. Step 6: Final answer
    x = 6,328.36

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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.