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Finding the Fourth Proportional to 12,818.70, 17,689.81 and 7,076.16

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Solution

The fourth proportional to 12,818.70, 17,689.81 and 7,076.16 is: 9,765.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,818.70 : 17,689.81 = 7,076.16 : x
  2. Step 2: Convert to fraction form
    12,818.70/17,689.81 = 7,076.16/x
  3. Step 3: Cross multiply
    12,818.70x = 17,689.81 × 7,076.16
  4. Step 4: Simplify right side
    12,818.70x = 125,175,943.62
  5. Step 5: Solve for x
    x = 125,175,943.62/12,818.70
  6. Step 6: Final answer
    x = 9,765.10

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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.