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Finding the Fourth Proportional to 5,280.34, 7,920.04 and 1,583.39

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Solution

The fourth proportional to 5,280.34, 7,920.04 and 1,583.39 is: 2,374.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,280.34 : 7,920.04 = 1,583.39 : x
  2. Step 2: Convert to fraction form
    5,280.34/7,920.04 = 1,583.39/x
  3. Step 3: Cross multiply
    5,280.34x = 7,920.04 × 1,583.39
  4. Step 4: Simplify right side
    5,280.34x = 12,540,504.22
  5. Step 5: Solve for x
    x = 12,540,504.22/5,280.34
  6. Step 6: Final answer
    x = 2,374.94

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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.