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Finding the Fourth Proportional to 12,607.12, 17,397.58 and 7,894

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Solution

The fourth proportional to 12,607.12, 17,397.58 and 7,894 is: 10,893.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,607.12 : 17,397.58 = 7,894 : x
  2. Step 2: Convert to fraction form
    12,607.12/17,397.58 = 7,894/x
  3. Step 3: Cross multiply
    12,607.12x = 17,397.58 × 7,894
  4. Step 4: Simplify right side
    12,607.12x = 137,336,496.52
  5. Step 5: Solve for x
    x = 137,336,496.52/12,607.12
  6. Step 6: Final answer
    x = 10,893.57

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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.