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Finding the Fourth Proportional to 19,146.56, 28,724.43 and 9,274.30

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Solution

The fourth proportional to 19,146.56, 28,724.43 and 9,274.30 is: 13,913.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,146.56 : 28,724.43 = 9,274.30 : x
  2. Step 2: Convert to fraction form
    19,146.56/28,724.43 = 9,274.30/x
  3. Step 3: Cross multiply
    19,146.56x = 28,724.43 × 9,274.30
  4. Step 4: Simplify right side
    19,146.56x = 266,398,981.15
  5. Step 5: Solve for x
    x = 266,398,981.15/19,146.56
  6. Step 6: Final answer
    x = 13,913.67

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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.