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Finding the Fourth Proportional to 18,782.96, 28,172.56 and 4,931.96

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Solution

The fourth proportional to 18,782.96, 28,172.56 and 4,931.96 is: 7,397.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,782.96 : 28,172.56 = 4,931.96 : x
  2. Step 2: Convert to fraction form
    18,782.96/28,172.56 = 4,931.96/x
  3. Step 3: Cross multiply
    18,782.96x = 28,172.56 × 4,931.96
  4. Step 4: Simplify right side
    18,782.96x = 138,945,939.02
  5. Step 5: Solve for x
    x = 138,945,939.02/18,782.96
  6. Step 6: Final answer
    x = 7,397.45

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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.