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Finding the Fourth Proportional to 15,342.80, 23,009.16 and 4,812.80

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Solution

The fourth proportional to 15,342.80, 23,009.16 and 4,812.80 is: 7,217.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,342.80 : 23,009.16 = 4,812.80 : x
  2. Step 2: Convert to fraction form
    15,342.80/23,009.16 = 4,812.80/x
  3. Step 3: Cross multiply
    15,342.80x = 23,009.16 × 4,812.80
  4. Step 4: Simplify right side
    15,342.80x = 110,738,485.25
  5. Step 5: Solve for x
    x = 110,738,485.25/15,342.80
  6. Step 6: Final answer
    x = 7,217.62

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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.