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Finding the Fourth Proportional to 16,730.80, 23,090.68 and 9,657.12

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Solution

The fourth proportional to 16,730.80, 23,090.68 and 9,657.12 is: 13,328.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,730.80 : 23,090.68 = 9,657.12 : x
  2. Step 2: Convert to fraction form
    16,730.80/23,090.68 = 9,657.12/x
  3. Step 3: Cross multiply
    16,730.80x = 23,090.68 × 9,657.12
  4. Step 4: Simplify right side
    16,730.80x = 222,989,467.64
  5. Step 5: Solve for x
    x = 222,989,467.64/16,730.80
  6. Step 6: Final answer
    x = 13,328.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.