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Finding the Fourth Proportional to 13,605.42, 20,412.54 and 6,675.06

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Solution

The fourth proportional to 13,605.42, 20,412.54 and 6,675.06 is: 10,014.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,605.42 : 20,412.54 = 6,675.06 : x
  2. Step 2: Convert to fraction form
    13,605.42/20,412.54 = 6,675.06/x
  3. Step 3: Cross multiply
    13,605.42x = 20,412.54 × 6,675.06
  4. Step 4: Simplify right side
    13,605.42x = 136,254,929.25
  5. Step 5: Solve for x
    x = 136,254,929.25/13,605.42
  6. Step 6: Final answer
    x = 10,014.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.