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Finding the Fourth Proportional to 20,788.95, 28,689.95 and 12,831.31

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Solution

The fourth proportional to 20,788.95, 28,689.95 and 12,831.31 is: 17,707.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,788.95 : 28,689.95 = 12,831.31 : x
  2. Step 2: Convert to fraction form
    20,788.95/28,689.95 = 12,831.31/x
  3. Step 3: Cross multiply
    20,788.95x = 28,689.95 × 12,831.31
  4. Step 4: Simplify right side
    20,788.95x = 368,129,638.10
  5. Step 5: Solve for x
    x = 368,129,638.10/20,788.95
  6. Step 6: Final answer
    x = 17,707.94

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Why These Related Problems?

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