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Finding the Fourth Proportional to 18,696, 25,800.64 and 10,312.72

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Solution

The fourth proportional to 18,696, 25,800.64 and 10,312.72 is: 14,231.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,696 : 25,800.64 = 10,312.72 : x
  2. Step 2: Convert to fraction form
    18,696/25,800.64 = 10,312.72/x
  3. Step 3: Cross multiply
    18,696x = 25,800.64 × 10,312.72
  4. Step 4: Simplify right side
    18,696x = 266,074,776.14
  5. Step 5: Solve for x
    x = 266,074,776.14/18,696
  6. Step 6: Final answer
    x = 14,231.64

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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.