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Finding the Fourth Proportional to 21,344.50, 32,016.75 and 5,762.13

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Solution

The fourth proportional to 21,344.50, 32,016.75 and 5,762.13 is: 8,643.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,344.50 : 32,016.75 = 5,762.13 : x
  2. Step 2: Convert to fraction form
    21,344.50/32,016.75 = 5,762.13/x
  3. Step 3: Cross multiply
    21,344.50x = 32,016.75 × 5,762.13
  4. Step 4: Simplify right side
    21,344.50x = 184,484,675.68
  5. Step 5: Solve for x
    x = 184,484,675.68/21,344.50
  6. Step 6: Final answer
    x = 8,643.20

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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.