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Finding the Fourth Proportional to 6,709.66, 9,263.51 and 6,291.25

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Solution

The fourth proportional to 6,709.66, 9,263.51 and 6,291.25 is: 8,685.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.66 : 9,263.51 = 6,291.25 : x
  2. Step 2: Convert to fraction form
    6,709.66/9,263.51 = 6,291.25/x
  3. Step 3: Cross multiply
    6,709.66x = 9,263.51 × 6,291.25
  4. Step 4: Simplify right side
    6,709.66x = 58,279,057.29
  5. Step 5: Solve for x
    x = 58,279,057.29/6,709.66
  6. Step 6: Final answer
    x = 8,685.84

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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.