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Finding the Fourth Proportional to 2,431.95, 3,647.98 and 788.50

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Solution

The fourth proportional to 2,431.95, 3,647.98 and 788.50 is: 1,182.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.95 : 3,647.98 = 788.50 : x
  2. Step 2: Convert to fraction form
    2,431.95/3,647.98 = 788.50/x
  3. Step 3: Cross multiply
    2,431.95x = 3,647.98 × 788.50
  4. Step 4: Simplify right side
    2,431.95x = 2,876,413.99
  5. Step 5: Solve for x
    x = 2,876,413.99/2,431.95
  6. Step 6: Final answer
    x = 1,182.76

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1.5x scale

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.