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Finding the Fourth Proportional to 19,831.23, 29,742.23 and 5,788.31

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Solution

The fourth proportional to 19,831.23, 29,742.23 and 5,788.31 is: 8,681.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,831.23 : 29,742.23 = 5,788.31 : x
  2. Step 2: Convert to fraction form
    19,831.23/29,742.23 = 5,788.31/x
  3. Step 3: Cross multiply
    19,831.23x = 29,742.23 × 5,788.31
  4. Step 4: Simplify right side
    19,831.23x = 172,157,069.68
  5. Step 5: Solve for x
    x = 172,157,069.68/19,831.23
  6. Step 6: Final answer
    x = 8,681.11

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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.