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Finding the Fourth Proportional to 30,413.78, 45,615.70 and 10,687.72

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Solution

The fourth proportional to 30,413.78, 45,615.70 and 10,687.72 is: 16,029.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,413.78 : 45,615.70 = 10,687.72 : x
  2. Step 2: Convert to fraction form
    30,413.78/45,615.70 = 10,687.72/x
  3. Step 3: Cross multiply
    30,413.78x = 45,615.70 × 10,687.72
  4. Step 4: Simplify right side
    30,413.78x = 487,527,829.20
  5. Step 5: Solve for x
    x = 487,527,829.20/30,413.78
  6. Step 6: Final answer
    x = 16,029.83

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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.