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Finding the Fourth Proportional to 30,604.58, 42,218.58 and 20,413.16

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Solution

The fourth proportional to 30,604.58, 42,218.58 and 20,413.16 is: 28,159.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,604.58 : 42,218.58 = 20,413.16 : x
  2. Step 2: Convert to fraction form
    30,604.58/42,218.58 = 20,413.16/x
  3. Step 3: Cross multiply
    30,604.58x = 42,218.58 × 20,413.16
  4. Step 4: Simplify right side
    30,604.58x = 861,814,628.51
  5. Step 5: Solve for x
    x = 861,814,628.51/30,604.58
  6. Step 6: Final answer
    x = 28,159.66

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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.