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Finding the Fourth Proportional to 12,913.56, 17,812.23 and 7,604.64

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Solution

The fourth proportional to 12,913.56, 17,812.23 and 7,604.64 is: 10,489.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,913.56 : 17,812.23 = 7,604.64 : x
  2. Step 2: Convert to fraction form
    12,913.56/17,812.23 = 7,604.64/x
  3. Step 3: Cross multiply
    12,913.56x = 17,812.23 × 7,604.64
  4. Step 4: Simplify right side
    12,913.56x = 135,455,596.75
  5. Step 5: Solve for x
    x = 135,455,596.75/12,913.56
  6. Step 6: Final answer
    x = 10,489.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.