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Finding the Fourth Proportional to 5,084.39, 7,625.11 and 1,752.50

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Solution

The fourth proportional to 5,084.39, 7,625.11 and 1,752.50 is: 2,628.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,084.39 : 7,625.11 = 1,752.50 : x
  2. Step 2: Convert to fraction form
    5,084.39/7,625.11 = 1,752.50/x
  3. Step 3: Cross multiply
    5,084.39x = 7,625.11 × 1,752.50
  4. Step 4: Simplify right side
    5,084.39x = 13,362,962.77
  5. Step 5: Solve for x
    x = 13,362,962.77/5,084.39
  6. Step 6: Final answer
    x = 2,628.24

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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.