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Finding the Fourth Proportional to 7,409.86, 10,223.21 and 5,285.74

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Solution

The fourth proportional to 7,409.86, 10,223.21 and 5,285.74 is: 7,292.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,409.86 : 10,223.21 = 5,285.74 : x
  2. Step 2: Convert to fraction form
    7,409.86/10,223.21 = 5,285.74/x
  3. Step 3: Cross multiply
    7,409.86x = 10,223.21 × 5,285.74
  4. Step 4: Simplify right side
    7,409.86x = 54,037,230.03
  5. Step 5: Solve for x
    x = 54,037,230.03/7,409.86
  6. Step 6: Final answer
    x = 7,292.61

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Similar ratio
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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.