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Finding the Fourth Proportional to 12,658.56, 18,976.32 and 5,730.24

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Solution

The fourth proportional to 12,658.56, 18,976.32 and 5,730.24 is: 8,590.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,658.56 : 18,976.32 = 5,730.24 : x
  2. Step 2: Convert to fraction form
    12,658.56/18,976.32 = 5,730.24/x
  3. Step 3: Cross multiply
    12,658.56x = 18,976.32 × 5,730.24
  4. Step 4: Simplify right side
    12,658.56x = 108,738,867.92
  5. Step 5: Solve for x
    x = 108,738,867.92/12,658.56
  6. Step 6: Final answer
    x = 8,590.15

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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.