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Finding the Fourth Proportional to 12,664.64, 17,477.28 and 7,362.80

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Solution

The fourth proportional to 12,664.64, 17,477.28 and 7,362.80 is: 10,160.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,664.64 : 17,477.28 = 7,362.80 : x
  2. Step 2: Convert to fraction form
    12,664.64/17,477.28 = 7,362.80/x
  3. Step 3: Cross multiply
    12,664.64x = 17,477.28 × 7,362.80
  4. Step 4: Simplify right side
    12,664.64x = 128,681,717.18
  5. Step 5: Solve for x
    x = 128,681,717.18/12,664.64
  6. Step 6: Final answer
    x = 10,160.71

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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.