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Finding the Fourth Proportional to 12,968.70, 17,903.19 and 7,665.18

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Solution

The fourth proportional to 12,968.70, 17,903.19 and 7,665.18 is: 10,581.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,968.70 : 17,903.19 = 7,665.18 : x
  2. Step 2: Convert to fraction form
    12,968.70/17,903.19 = 7,665.18/x
  3. Step 3: Cross multiply
    12,968.70x = 17,903.19 × 7,665.18
  4. Step 4: Simplify right side
    12,968.70x = 137,231,173.92
  5. Step 5: Solve for x
    x = 137,231,173.92/12,968.70
  6. Step 6: Final answer
    x = 10,581.72

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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.