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Finding the Fourth Proportional to 9,879.42, 13,627.34 and 6,894.16

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Solution

The fourth proportional to 9,879.42, 13,627.34 and 6,894.16 is: 9,509.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,879.42 : 13,627.34 = 6,894.16 : x
  2. Step 2: Convert to fraction form
    9,879.42/13,627.34 = 6,894.16/x
  3. Step 3: Cross multiply
    9,879.42x = 13,627.34 × 6,894.16
  4. Step 4: Simplify right side
    9,879.42x = 93,949,096.30
  5. Step 5: Solve for x
    x = 93,949,096.30/9,879.42
  6. Step 6: Final answer
    x = 9,509.58

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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.