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Finding the Fourth Proportional to 12,146.69, 16,763.93 and 6,841.87

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Solution

The fourth proportional to 12,146.69, 16,763.93 and 6,841.87 is: 9,442.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146.69 : 16,763.93 = 6,841.87 : x
  2. Step 2: Convert to fraction form
    12,146.69/16,763.93 = 6,841.87/x
  3. Step 3: Cross multiply
    12,146.69x = 16,763.93 × 6,841.87
  4. Step 4: Simplify right side
    12,146.69x = 114,696,579.29
  5. Step 5: Solve for x
    x = 114,696,579.29/12,146.69
  6. Step 6: Final answer
    x = 9,442.62

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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.