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Finding the Fourth Proportional to 9,138.08, 12,610.56 and 4,946.32

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Solution

The fourth proportional to 9,138.08, 12,610.56 and 4,946.32 is: 6,825.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.08 : 12,610.56 = 4,946.32 : x
  2. Step 2: Convert to fraction form
    9,138.08/12,610.56 = 4,946.32/x
  3. Step 3: Cross multiply
    9,138.08x = 12,610.56 × 4,946.32
  4. Step 4: Simplify right side
    9,138.08x = 62,375,865.14
  5. Step 5: Solve for x
    x = 62,375,865.14/9,138.08
  6. Step 6: Final answer
    x = 6,825.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.