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Finding the Fourth Proportional to 21,485.46, 29,649.81 and 12,054

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Solution

The fourth proportional to 21,485.46, 29,649.81 and 12,054 is: 16,634.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,485.46 : 29,649.81 = 12,054 : x
  2. Step 2: Convert to fraction form
    21,485.46/29,649.81 = 12,054/x
  3. Step 3: Cross multiply
    21,485.46x = 29,649.81 × 12,054
  4. Step 4: Simplify right side
    21,485.46x = 357,398,809.74
  5. Step 5: Solve for x
    x = 357,398,809.74/21,485.46
  6. Step 6: Final answer
    x = 16,634.45

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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.