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Finding the Fourth Proportional to 16,700, 25,051.66 and 6,172.78

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Solution

The fourth proportional to 16,700, 25,051.66 and 6,172.78 is: 9,259.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,700 : 25,051.66 = 6,172.78 : x
  2. Step 2: Convert to fraction form
    16,700/25,051.66 = 6,172.78/x
  3. Step 3: Cross multiply
    16,700x = 25,051.66 × 6,172.78
  4. Step 4: Simplify right side
    16,700x = 154,638,385.81
  5. Step 5: Solve for x
    x = 154,638,385.81/16,700
  6. Step 6: Final answer
    x = 9,259.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.