Home / 1,577.60-2,363.64-1,408.10

Finding the Fourth Proportional to 1,577.60, 2,363.64 and 1,408.10

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Solution

The fourth proportional to 1,577.60, 2,363.64 and 1,408.10 is: 2,109.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.60 : 2,363.64 = 1,408.10 : x
  2. Step 2: Convert to fraction form
    1,577.60/2,363.64 = 1,408.10/x
  3. Step 3: Cross multiply
    1,577.60x = 2,363.64 × 1,408.10
  4. Step 4: Simplify right side
    1,577.60x = 3,328,241.48
  5. Step 5: Solve for x
    x = 3,328,241.48/1,577.60
  6. Step 6: Final answer
    x = 2,109.69

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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.