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Finding the Fourth Proportional to 12,376.03, 17,078.71 and 6,998.38

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Solution

The fourth proportional to 12,376.03, 17,078.71 and 6,998.38 is: 9,657.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,376.03 : 17,078.71 = 6,998.38 : x
  2. Step 2: Convert to fraction form
    12,376.03/17,078.71 = 6,998.38/x
  3. Step 3: Cross multiply
    12,376.03x = 17,078.71 × 6,998.38
  4. Step 4: Simplify right side
    12,376.03x = 119,523,302.49
  5. Step 5: Solve for x
    x = 119,523,302.49/12,376.03
  6. Step 6: Final answer
    x = 9,657.64

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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.