Home / 1,477.32-2,216.28-861.54

Finding the Fourth Proportional to 1,477.32, 2,216.28 and 861.54

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Solution

The fourth proportional to 1,477.32, 2,216.28 and 861.54 is: 1,292.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.32 : 2,216.28 = 861.54 : x
  2. Step 2: Convert to fraction form
    1,477.32/2,216.28 = 861.54/x
  3. Step 3: Cross multiply
    1,477.32x = 2,216.28 × 861.54
  4. Step 4: Simplify right side
    1,477.32x = 1,909,413.87
  5. Step 5: Solve for x
    x = 1,909,413.87/1,477.32
  6. Step 6: Final answer
    x = 1,292.48

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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.