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Finding the Fourth Proportional to 4,847.78, 7,270.74 and 1,560.08

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Solution

The fourth proportional to 4,847.78, 7,270.74 and 1,560.08 is: 2,339.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847.78 : 7,270.74 = 1,560.08 : x
  2. Step 2: Convert to fraction form
    4,847.78/7,270.74 = 1,560.08/x
  3. Step 3: Cross multiply
    4,847.78x = 7,270.74 × 1,560.08
  4. Step 4: Simplify right side
    4,847.78x = 11,342,936.06
  5. Step 5: Solve for x
    x = 11,342,936.06/4,847.78
  6. Step 6: Final answer
    x = 2,339.82

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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.