Home / 2,577.40-3,856.98-1,603.96

Finding the Fourth Proportional to 2,577.40, 3,856.98 and 1,603.96

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Solution

The fourth proportional to 2,577.40, 3,856.98 and 1,603.96 is: 2,400.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.40 : 3,856.98 = 1,603.96 : x
  2. Step 2: Convert to fraction form
    2,577.40/3,856.98 = 1,603.96/x
  3. Step 3: Cross multiply
    2,577.40x = 3,856.98 × 1,603.96
  4. Step 4: Simplify right side
    2,577.40x = 6,186,441.64
  5. Step 5: Solve for x
    x = 6,186,441.64/2,577.40
  6. Step 6: Final answer
    x = 2,400.26

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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.