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Finding the Fourth Proportional to 12,664, 17,476.32 and 8,482.24

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Solution

The fourth proportional to 12,664, 17,476.32 and 8,482.24 is: 11,705.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,664 : 17,476.32 = 8,482.24 : x
  2. Step 2: Convert to fraction form
    12,664/17,476.32 = 8,482.24/x
  3. Step 3: Cross multiply
    12,664x = 17,476.32 × 8,482.24
  4. Step 4: Simplify right side
    12,664x = 148,238,340.56
  5. Step 5: Solve for x
    x = 148,238,340.56/12,664
  6. Step 6: Final answer
    x = 11,705.49

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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.