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Finding the Fourth Proportional to 1,627.78, 2,441.62 and 847.52

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Solution

The fourth proportional to 1,627.78, 2,441.62 and 847.52 is: 1,271.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.78 : 2,441.62 = 847.52 : x
  2. Step 2: Convert to fraction form
    1,627.78/2,441.62 = 847.52/x
  3. Step 3: Cross multiply
    1,627.78x = 2,441.62 × 847.52
  4. Step 4: Simplify right side
    1,627.78x = 2,069,321.78
  5. Step 5: Solve for x
    x = 2,069,321.78/1,627.78
  6. Step 6: Final answer
    x = 1,271.25

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1.5x scale

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.