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Finding the Fourth Proportional to 9,419.49, 13,000.01 and 5,228.01

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Solution

The fourth proportional to 9,419.49, 13,000.01 and 5,228.01 is: 7,215.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419.49 : 13,000.01 = 5,228.01 : x
  2. Step 2: Convert to fraction form
    9,419.49/13,000.01 = 5,228.01/x
  3. Step 3: Cross multiply
    9,419.49x = 13,000.01 × 5,228.01
  4. Step 4: Simplify right side
    9,419.49x = 67,964,156.14
  5. Step 5: Solve for x
    x = 67,964,156.14/9,419.49
  6. Step 6: Final answer
    x = 7,215.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.