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Finding the Fourth Proportional to 13,214.32, 19,813 and 7,362.88

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Solution

The fourth proportional to 13,214.32, 19,813 and 7,362.88 is: 11,039.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,214.32 : 19,813 = 7,362.88 : x
  2. Step 2: Convert to fraction form
    13,214.32/19,813 = 7,362.88/x
  3. Step 3: Cross multiply
    13,214.32x = 19,813 × 7,362.88
  4. Step 4: Simplify right side
    13,214.32x = 145,880,741.44
  5. Step 5: Solve for x
    x = 145,880,741.44/13,214.32
  6. Step 6: Final answer
    x = 11,039.60

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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.