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Finding the Fourth Proportional to 6,686.40, 9,217.74 and 5,489.64

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Solution

The fourth proportional to 6,686.40, 9,217.74 and 5,489.64 is: 7,567.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.40 : 9,217.74 = 5,489.64 : x
  2. Step 2: Convert to fraction form
    6,686.40/9,217.74 = 5,489.64/x
  3. Step 3: Cross multiply
    6,686.40x = 9,217.74 × 5,489.64
  4. Step 4: Simplify right side
    6,686.40x = 50,602,074.21
  5. Step 5: Solve for x
    x = 50,602,074.21/6,686.40
  6. Step 6: Final answer
    x = 7,567.91

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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.