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Finding the Fourth Proportional to 12,157.07, 18,235.61 and 2,923.07

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Solution

The fourth proportional to 12,157.07, 18,235.61 and 2,923.07 is: 4,384.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,157.07 : 18,235.61 = 2,923.07 : x
  2. Step 2: Convert to fraction form
    12,157.07/18,235.61 = 2,923.07/x
  3. Step 3: Cross multiply
    12,157.07x = 18,235.61 × 2,923.07
  4. Step 4: Simplify right side
    12,157.07x = 53,303,949.91
  5. Step 5: Solve for x
    x = 53,303,949.91/12,157.07
  6. Step 6: Final answer
    x = 4,384.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.