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Finding the Fourth Proportional to 12,509.64, 18,763.06 and 3,149.65

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Solution

The fourth proportional to 12,509.64, 18,763.06 and 3,149.65 is: 4,724.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509.64 : 18,763.06 = 3,149.65 : x
  2. Step 2: Convert to fraction form
    12,509.64/18,763.06 = 3,149.65/x
  3. Step 3: Cross multiply
    12,509.64x = 18,763.06 × 3,149.65
  4. Step 4: Simplify right side
    12,509.64x = 59,097,064.05
  5. Step 5: Solve for x
    x = 59,097,064.05/12,509.64
  6. Step 6: Final answer
    x = 4,724.12

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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.