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Finding the Fourth Proportional to 5,447.76, 7,518 and 3,089.96

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Solution

The fourth proportional to 5,447.76, 7,518 and 3,089.96 is: 4,264.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,447.76 : 7,518 = 3,089.96 : x
  2. Step 2: Convert to fraction form
    5,447.76/7,518 = 3,089.96/x
  3. Step 3: Cross multiply
    5,447.76x = 7,518 × 3,089.96
  4. Step 4: Simplify right side
    5,447.76x = 23,230,319.28
  5. Step 5: Solve for x
    x = 23,230,319.28/5,447.76
  6. Step 6: Final answer
    x = 4,264.20

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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.