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Finding the Fourth Proportional to 21,831.76, 32,749.76 and 8,681.20

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Solution

The fourth proportional to 21,831.76, 32,749.76 and 8,681.20 is: 13,022.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,831.76 : 32,749.76 = 8,681.20 : x
  2. Step 2: Convert to fraction form
    21,831.76/32,749.76 = 8,681.20/x
  3. Step 3: Cross multiply
    21,831.76x = 32,749.76 × 8,681.20
  4. Step 4: Simplify right side
    21,831.76x = 284,307,216.51
  5. Step 5: Solve for x
    x = 284,307,216.51/21,831.76
  6. Step 6: Final answer
    x = 13,022.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.