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Finding the Fourth Proportional to 30,731.76, 42,413.02 and 18,803.04

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Solution

The fourth proportional to 30,731.76, 42,413.02 and 18,803.04 is: 25,950.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,731.76 : 42,413.02 = 18,803.04 : x
  2. Step 2: Convert to fraction form
    30,731.76/42,413.02 = 18,803.04/x
  3. Step 3: Cross multiply
    30,731.76x = 42,413.02 × 18,803.04
  4. Step 4: Simplify right side
    30,731.76x = 797,493,711.58
  5. Step 5: Solve for x
    x = 797,493,711.58/30,731.76
  6. Step 6: Final answer
    x = 25,950.15

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1.5x scale

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.