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Finding the Fourth Proportional to 6,100.40, 8,413.11 and 4,756.34

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Solution

The fourth proportional to 6,100.40, 8,413.11 and 4,756.34 is: 6,559.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,100.40 : 8,413.11 = 4,756.34 : x
  2. Step 2: Convert to fraction form
    6,100.40/8,413.11 = 4,756.34/x
  3. Step 3: Cross multiply
    6,100.40x = 8,413.11 × 4,756.34
  4. Step 4: Simplify right side
    6,100.40x = 40,015,569.55
  5. Step 5: Solve for x
    x = 40,015,569.55/6,100.40
  6. Step 6: Final answer
    x = 6,559.50

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1.5x scale

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.