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Finding the Fourth Proportional to 15,801, 23,701.68 and 5,413.56

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Solution

The fourth proportional to 15,801, 23,701.68 and 5,413.56 is: 8,120.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,801 : 23,701.68 = 5,413.56 : x
  2. Step 2: Convert to fraction form
    15,801/23,701.68 = 5,413.56/x
  3. Step 3: Cross multiply
    15,801x = 23,701.68 × 5,413.56
  4. Step 4: Simplify right side
    15,801x = 128,310,466.78
  5. Step 5: Solve for x
    x = 128,310,466.78/15,801
  6. Step 6: Final answer
    x = 8,120.40

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1.5x scale

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.