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Finding the Fourth Proportional to 13,212.90, 19,802.55 and 5,412.90

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Solution

The fourth proportional to 13,212.90, 19,802.55 and 5,412.90 is: 8,112.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,212.90 : 19,802.55 = 5,412.90 : x
  2. Step 2: Convert to fraction form
    13,212.90/19,802.55 = 5,412.90/x
  3. Step 3: Cross multiply
    13,212.90x = 19,802.55 × 5,412.90
  4. Step 4: Simplify right side
    13,212.90x = 107,189,222.90
  5. Step 5: Solve for x
    x = 107,189,222.90/13,212.90
  6. Step 6: Final answer
    x = 8,112.47

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1.5x scale

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.