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Finding the Fourth Proportional to 5,280.81, 7,920.96 and 1,770.86

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Solution

The fourth proportional to 5,280.81, 7,920.96 and 1,770.86 is: 2,656.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,280.81 : 7,920.96 = 1,770.86 : x
  2. Step 2: Convert to fraction form
    5,280.81/7,920.96 = 1,770.86/x
  3. Step 3: Cross multiply
    5,280.81x = 7,920.96 × 1,770.86
  4. Step 4: Simplify right side
    5,280.81x = 14,026,924.39
  5. Step 5: Solve for x
    x = 14,026,924.39/5,280.81
  6. Step 6: Final answer
    x = 2,656.21

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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.