Home / 31,008.96-46,512-15,413.76

Finding the Fourth Proportional to 31,008.96, 46,512 and 15,413.76

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Solution

The fourth proportional to 31,008.96, 46,512 and 15,413.76 is: 23,119.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,008.96 : 46,512 = 15,413.76 : x
  2. Step 2: Convert to fraction form
    31,008.96/46,512 = 15,413.76/x
  3. Step 3: Cross multiply
    31,008.96x = 46,512 × 15,413.76
  4. Step 4: Simplify right side
    31,008.96x = 716,924,805.12
  5. Step 5: Solve for x
    x = 716,924,805.12/31,008.96
  6. Step 6: Final answer
    x = 23,119.92

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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.