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Finding the Fourth Proportional to 12,411.40, 17,127.54 and 6,822.28

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Solution

The fourth proportional to 12,411.40, 17,127.54 and 6,822.28 is: 9,414.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,411.40 : 17,127.54 = 6,822.28 : x
  2. Step 2: Convert to fraction form
    12,411.40/17,127.54 = 6,822.28/x
  3. Step 3: Cross multiply
    12,411.40x = 17,127.54 × 6,822.28
  4. Step 4: Simplify right side
    12,411.40x = 116,848,873.59
  5. Step 5: Solve for x
    x = 116,848,873.59/12,411.40
  6. Step 6: Final answer
    x = 9,414.64

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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.