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Finding the Fourth Proportional to 15,469.56, 23,165.08 and 12,964.16

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Solution

The fourth proportional to 15,469.56, 23,165.08 and 12,964.16 is: 19,413.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,469.56 : 23,165.08 = 12,964.16 : x
  2. Step 2: Convert to fraction form
    15,469.56/23,165.08 = 12,964.16/x
  3. Step 3: Cross multiply
    15,469.56x = 23,165.08 × 12,964.16
  4. Step 4: Simplify right side
    15,469.56x = 300,315,687.71
  5. Step 5: Solve for x
    x = 300,315,687.71/15,469.56
  6. Step 6: Final answer
    x = 19,413.34

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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.