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Finding the Fourth Proportional to 12,762.40, 17,620.70 and 11,413.82

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Solution

The fourth proportional to 12,762.40, 17,620.70 and 11,413.82 is: 15,758.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762.40 : 17,620.70 = 11,413.82 : x
  2. Step 2: Convert to fraction form
    12,762.40/17,620.70 = 11,413.82/x
  3. Step 3: Cross multiply
    12,762.40x = 17,620.70 × 11,413.82
  4. Step 4: Simplify right side
    12,762.40x = 201,119,498.07
  5. Step 5: Solve for x
    x = 201,119,498.07/12,762.40
  6. Step 6: Final answer
    x = 15,758.75

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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.