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Finding the Fourth Proportional to 18,956.78, 28,429 and 6,303.14

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Solution

The fourth proportional to 18,956.78, 28,429 and 6,303.14 is: 9,452.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,956.78 : 28,429 = 6,303.14 : x
  2. Step 2: Convert to fraction form
    18,956.78/28,429 = 6,303.14/x
  3. Step 3: Cross multiply
    18,956.78x = 28,429 × 6,303.14
  4. Step 4: Simplify right side
    18,956.78x = 179,191,967.06
  5. Step 5: Solve for x
    x = 179,191,967.06/18,956.78
  6. Step 6: Final answer
    x = 9,452.66

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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.