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Finding the Fourth Proportional to 5,577, 7,695.72 and 3,219.90

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Solution

The fourth proportional to 5,577, 7,695.72 and 3,219.90 is: 4,443.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,577 : 7,695.72 = 3,219.90 : x
  2. Step 2: Convert to fraction form
    5,577/7,695.72 = 3,219.90/x
  3. Step 3: Cross multiply
    5,577x = 7,695.72 × 3,219.90
  4. Step 4: Simplify right side
    5,577x = 24,779,448.83
  5. Step 5: Solve for x
    x = 24,779,448.83/5,577
  6. Step 6: Final answer
    x = 4,443.15

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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.