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Finding the Fourth Proportional to 5,873.50, 8,811.47 and 1,977.81

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Solution

The fourth proportional to 5,873.50, 8,811.47 and 1,977.81 is: 2,967.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,873.50 : 8,811.47 = 1,977.81 : x
  2. Step 2: Convert to fraction form
    5,873.50/8,811.47 = 1,977.81/x
  3. Step 3: Cross multiply
    5,873.50x = 8,811.47 × 1,977.81
  4. Step 4: Simplify right side
    5,873.50x = 17,427,413.48
  5. Step 5: Solve for x
    x = 17,427,413.48/5,873.50
  6. Step 6: Final answer
    x = 2,967.13

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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.