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Finding the Fourth Proportional to 6,716.28, 9,269.64 and 6,421.08

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Solution

The fourth proportional to 6,716.28, 9,269.64 and 6,421.08 is: 8,862.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,716.28 : 9,269.64 = 6,421.08 : x
  2. Step 2: Convert to fraction form
    6,716.28/9,269.64 = 6,421.08/x
  3. Step 3: Cross multiply
    6,716.28x = 9,269.64 × 6,421.08
  4. Step 4: Simplify right side
    6,716.28x = 59,521,100.01
  5. Step 5: Solve for x
    x = 59,521,100.01/6,716.28
  6. Step 6: Final answer
    x = 8,862.21

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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.