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Finding the Fourth Proportional to 9,724, 13,419.12 and 5,308

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Solution

The fourth proportional to 9,724, 13,419.12 and 5,308 is: 7,325.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,724 : 13,419.12 = 5,308 : x
  2. Step 2: Convert to fraction form
    9,724/13,419.12 = 5,308/x
  3. Step 3: Cross multiply
    9,724x = 13,419.12 × 5,308
  4. Step 4: Simplify right side
    9,724x = 71,228,688.96
  5. Step 5: Solve for x
    x = 71,228,688.96/9,724
  6. Step 6: Final answer
    x = 7,325.04

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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.