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Finding the Fourth Proportional to 13,657.68, 20,482.34 and 3,794.31

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Solution

The fourth proportional to 13,657.68, 20,482.34 and 3,794.31 is: 5,690.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,657.68 : 20,482.34 = 3,794.31 : x
  2. Step 2: Convert to fraction form
    13,657.68/20,482.34 = 3,794.31/x
  3. Step 3: Cross multiply
    13,657.68x = 20,482.34 × 3,794.31
  4. Step 4: Simplify right side
    13,657.68x = 77,716,328.51
  5. Step 5: Solve for x
    x = 77,716,328.51/13,657.68
  6. Step 6: Final answer
    x = 5,690.30

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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.