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Finding the Fourth Proportional to 27,413.64, 37,830.84 and 15,477

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Solution

The fourth proportional to 27,413.64, 37,830.84 and 15,477 is: 21,358.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,413.64 : 37,830.84 = 15,477 : x
  2. Step 2: Convert to fraction form
    27,413.64/37,830.84 = 15,477/x
  3. Step 3: Cross multiply
    27,413.64x = 37,830.84 × 15,477
  4. Step 4: Simplify right side
    27,413.64x = 585,507,910.68
  5. Step 5: Solve for x
    x = 585,507,910.68/27,413.64
  6. Step 6: Final answer
    x = 21,358.27

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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.