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Finding the Fourth Proportional to 13,200, 19,802.08 and 6,272.16

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Solution

The fourth proportional to 13,200, 19,802.08 and 6,272.16 is: 9,409.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,200 : 19,802.08 = 6,272.16 : x
  2. Step 2: Convert to fraction form
    13,200/19,802.08 = 6,272.16/x
  3. Step 3: Cross multiply
    13,200x = 19,802.08 × 6,272.16
  4. Step 4: Simplify right side
    13,200x = 124,201,814.09
  5. Step 5: Solve for x
    x = 124,201,814.09/13,200
  6. Step 6: Final answer
    x = 9,409.23

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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.