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Finding the Fourth Proportional to 21,551.94, 32,308.74 and 8,413.52

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Solution

The fourth proportional to 21,551.94, 32,308.74 and 8,413.52 is: 12,612.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,551.94 : 32,308.74 = 8,413.52 : x
  2. Step 2: Convert to fraction form
    21,551.94/32,308.74 = 8,413.52/x
  3. Step 3: Cross multiply
    21,551.94x = 32,308.74 × 8,413.52
  4. Step 4: Simplify right side
    21,551.94x = 271,830,068.62
  5. Step 5: Solve for x
    x = 271,830,068.62/21,551.94
  6. Step 6: Final answer
    x = 12,612.79

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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.