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Finding the Fourth Proportional to 6,825.77, 9,422.63 and 5,147.85

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Solution

The fourth proportional to 6,825.77, 9,422.63 and 5,147.85 is: 7,106.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825.77 : 9,422.63 = 5,147.85 : x
  2. Step 2: Convert to fraction form
    6,825.77/9,422.63 = 5,147.85/x
  3. Step 3: Cross multiply
    6,825.77x = 9,422.63 × 5,147.85
  4. Step 4: Simplify right side
    6,825.77x = 48,506,314.75
  5. Step 5: Solve for x
    x = 48,506,314.75/6,825.77
  6. Step 6: Final answer
    x = 7,106.35

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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.