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Finding the Fourth Proportional to 9,619.70, 13,274.43 and 5,428.70

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Solution

The fourth proportional to 9,619.70, 13,274.43 and 5,428.70 is: 7,491.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,619.70 : 13,274.43 = 5,428.70 : x
  2. Step 2: Convert to fraction form
    9,619.70/13,274.43 = 5,428.70/x
  3. Step 3: Cross multiply
    9,619.70x = 13,274.43 × 5,428.70
  4. Step 4: Simplify right side
    9,619.70x = 72,062,898.14
  5. Step 5: Solve for x
    x = 72,062,898.14/9,619.70
  6. Step 6: Final answer
    x = 7,491.18

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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.