Home / 2,045-2,822.10-1,113.50

Finding the Fourth Proportional to 2,045, 2,822.10 and 1,113.50

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Solution

The fourth proportional to 2,045, 2,822.10 and 1,113.50 is: 1,536.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045 : 2,822.10 = 1,113.50 : x
  2. Step 2: Convert to fraction form
    2,045/2,822.10 = 1,113.50/x
  3. Step 3: Cross multiply
    2,045x = 2,822.10 × 1,113.50
  4. Step 4: Simplify right side
    2,045x = 3,142,408.35
  5. Step 5: Solve for x
    x = 3,142,408.35/2,045
  6. Step 6: Final answer
    x = 1,536.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.