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Finding the Fourth Proportional to 2,088.84, 3,132.54 and 627.60

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Solution

The fourth proportional to 2,088.84, 3,132.54 and 627.60 is: 941.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.84 : 3,132.54 = 627.60 : x
  2. Step 2: Convert to fraction form
    2,088.84/3,132.54 = 627.60/x
  3. Step 3: Cross multiply
    2,088.84x = 3,132.54 × 627.60
  4. Step 4: Simplify right side
    2,088.84x = 1,965,982.10
  5. Step 5: Solve for x
    x = 1,965,982.10/2,088.84
  6. Step 6: Final answer
    x = 941.18

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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.