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Finding the Fourth Proportional to 12,728.66, 17,564.75 and 7,689.89

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Solution

The fourth proportional to 12,728.66, 17,564.75 and 7,689.89 is: 10,611.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,728.66 : 17,564.75 = 7,689.89 : x
  2. Step 2: Convert to fraction form
    12,728.66/17,564.75 = 7,689.89/x
  3. Step 3: Cross multiply
    12,728.66x = 17,564.75 × 7,689.89
  4. Step 4: Simplify right side
    12,728.66x = 135,071,000.84
  5. Step 5: Solve for x
    x = 135,071,000.84/12,728.66
  6. Step 6: Final answer
    x = 10,611.57

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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.