Home / 4,094.29-6,137.95-1,461

Finding the Fourth Proportional to 4,094.29, 6,137.95 and 1,461

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Solution

The fourth proportional to 4,094.29, 6,137.95 and 1,461 is: 2,190.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,094.29 : 6,137.95 = 1,461 : x
  2. Step 2: Convert to fraction form
    4,094.29/6,137.95 = 1,461/x
  3. Step 3: Cross multiply
    4,094.29x = 6,137.95 × 1,461
  4. Step 4: Simplify right side
    4,094.29x = 8,967,544.95
  5. Step 5: Solve for x
    x = 8,967,544.95/4,094.29
  6. Step 6: Final answer
    x = 2,190.26

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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.