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Finding the Fourth Proportional to 15,348, 21,180.24 and 8,724

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Solution

The fourth proportional to 15,348, 21,180.24 and 8,724 is: 12,039.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,348 : 21,180.24 = 8,724 : x
  2. Step 2: Convert to fraction form
    15,348/21,180.24 = 8,724/x
  3. Step 3: Cross multiply
    15,348x = 21,180.24 × 8,724
  4. Step 4: Simplify right side
    15,348x = 184,776,413.76
  5. Step 5: Solve for x
    x = 184,776,413.76/15,348
  6. Step 6: Final answer
    x = 12,039.12

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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.