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Finding the Fourth Proportional to 11,966, 17,830.06 and 10,657.40

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Solution

The fourth proportional to 11,966, 17,830.06 and 10,657.40 is: 15,880.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,966 : 17,830.06 = 10,657.40 : x
  2. Step 2: Convert to fraction form
    11,966/17,830.06 = 10,657.40/x
  3. Step 3: Cross multiply
    11,966x = 17,830.06 × 10,657.40
  4. Step 4: Simplify right side
    11,966x = 190,022,081.44
  5. Step 5: Solve for x
    x = 190,022,081.44/11,966
  6. Step 6: Final answer
    x = 15,880.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.