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Finding the Fourth Proportional to 7,561.25, 10,406.99 and 6,659.07

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Solution

The fourth proportional to 7,561.25, 10,406.99 and 6,659.07 is: 9,165.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,561.25 : 10,406.99 = 6,659.07 : x
  2. Step 2: Convert to fraction form
    7,561.25/10,406.99 = 6,659.07/x
  3. Step 3: Cross multiply
    7,561.25x = 10,406.99 × 6,659.07
  4. Step 4: Simplify right side
    7,561.25x = 69,300,841.60
  5. Step 5: Solve for x
    x = 69,300,841.60/7,561.25
  6. Step 6: Final answer
    x = 9,165.26

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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.