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Finding the Fourth Proportional to 14,146, 19,523.28 and 8,557.04

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Solution

The fourth proportional to 14,146, 19,523.28 and 8,557.04 is: 11,809.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,146 : 19,523.28 = 8,557.04 : x
  2. Step 2: Convert to fraction form
    14,146/19,523.28 = 8,557.04/x
  3. Step 3: Cross multiply
    14,146x = 19,523.28 × 8,557.04
  4. Step 4: Simplify right side
    14,146x = 167,061,487.89
  5. Step 5: Solve for x
    x = 167,061,487.89/14,146
  6. Step 6: Final answer
    x = 11,809.80

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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.