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Finding the Fourth Proportional to 7,225.92, 9,986.40 and 6,523.20

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Solution

The fourth proportional to 7,225.92, 9,986.40 and 6,523.20 is: 9,015.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.92 : 9,986.40 = 6,523.20 : x
  2. Step 2: Convert to fraction form
    7,225.92/9,986.40 = 6,523.20/x
  3. Step 3: Cross multiply
    7,225.92x = 9,986.40 × 6,523.20
  4. Step 4: Simplify right side
    7,225.92x = 65,143,284.48
  5. Step 5: Solve for x
    x = 65,143,284.48/7,225.92
  6. Step 6: Final answer
    x = 9,015.22

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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.