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Finding the Fourth Proportional to 12,175.80, 16,812.54 and 7,706.76

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Solution

The fourth proportional to 12,175.80, 16,812.54 and 7,706.76 is: 10,641.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,175.80 : 16,812.54 = 7,706.76 : x
  2. Step 2: Convert to fraction form
    12,175.80/16,812.54 = 7,706.76/x
  3. Step 3: Cross multiply
    12,175.80x = 16,812.54 × 7,706.76
  4. Step 4: Simplify right side
    12,175.80x = 129,570,210.77
  5. Step 5: Solve for x
    x = 129,570,210.77/12,175.80
  6. Step 6: Final answer
    x = 10,641.62

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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.