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Finding the Fourth Proportional to 5,281.56, 7,920.02 and 1,583.10

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Solution

The fourth proportional to 5,281.56, 7,920.02 and 1,583.10 is: 2,373.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,281.56 : 7,920.02 = 1,583.10 : x
  2. Step 2: Convert to fraction form
    5,281.56/7,920.02 = 1,583.10/x
  3. Step 3: Cross multiply
    5,281.56x = 7,920.02 × 1,583.10
  4. Step 4: Simplify right side
    5,281.56x = 12,538,175.75
  5. Step 5: Solve for x
    x = 12,538,175.75/5,281.56
  6. Step 6: Final answer
    x = 2,373.95

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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.