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Finding the Fourth Proportional to 6,147.78, 9,254.90 and 5,612.10

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Solution

The fourth proportional to 6,147.78, 9,254.90 and 5,612.10 is: 8,448.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.78 : 9,254.90 = 5,612.10 : x
  2. Step 2: Convert to fraction form
    6,147.78/9,254.90 = 5,612.10/x
  3. Step 3: Cross multiply
    6,147.78x = 9,254.90 × 5,612.10
  4. Step 4: Simplify right side
    6,147.78x = 51,939,396.23
  5. Step 5: Solve for x
    x = 51,939,396.23/6,147.78
  6. Step 6: Final answer
    x = 8,448.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.