Home / 5,749-8,623.98-1,645

Finding the Fourth Proportional to 5,749, 8,623.98 and 1,645

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Solution

The fourth proportional to 5,749, 8,623.98 and 1,645 is: 2,467.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,749 : 8,623.98 = 1,645 : x
  2. Step 2: Convert to fraction form
    5,749/8,623.98 = 1,645/x
  3. Step 3: Cross multiply
    5,749x = 8,623.98 × 1,645
  4. Step 4: Simplify right side
    5,749x = 14,186,447.10
  5. Step 5: Solve for x
    x = 14,186,447.10/5,749
  6. Step 6: Final answer
    x = 2,467.64

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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.