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Finding the Fourth Proportional to 12,527.50, 18,794.14 and 4,319.50

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Solution

The fourth proportional to 12,527.50, 18,794.14 and 4,319.50 is: 6,480.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,527.50 : 18,794.14 = 4,319.50 : x
  2. Step 2: Convert to fraction form
    12,527.50/18,794.14 = 4,319.50/x
  3. Step 3: Cross multiply
    12,527.50x = 18,794.14 × 4,319.50
  4. Step 4: Simplify right side
    12,527.50x = 81,181,287.73
  5. Step 5: Solve for x
    x = 81,181,287.73/12,527.50
  6. Step 6: Final answer
    x = 6,480.25

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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.