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Finding the Fourth Proportional to 30,929.64, 42,656.58 and 21,520.68

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Solution

The fourth proportional to 30,929.64, 42,656.58 and 21,520.68 is: 29,680.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,929.64 : 42,656.58 = 21,520.68 : x
  2. Step 2: Convert to fraction form
    30,929.64/42,656.58 = 21,520.68/x
  3. Step 3: Cross multiply
    30,929.64x = 42,656.58 × 21,520.68
  4. Step 4: Simplify right side
    30,929.64x = 917,998,608.07
  5. Step 5: Solve for x
    x = 917,998,608.07/30,929.64
  6. Step 6: Final answer
    x = 29,680.22

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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.