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Finding the Fourth Proportional to 18,700, 25,806.08 and 10,317.12

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Solution

The fourth proportional to 18,700, 25,806.08 and 10,317.12 is: 14,237.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,700 : 25,806.08 = 10,317.12 : x
  2. Step 2: Convert to fraction form
    18,700/25,806.08 = 10,317.12/x
  3. Step 3: Cross multiply
    18,700x = 25,806.08 × 10,317.12
  4. Step 4: Simplify right side
    18,700x = 266,244,424.09
  5. Step 5: Solve for x
    x = 266,244,424.09/18,700
  6. Step 6: Final answer
    x = 14,237.67

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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.