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Finding the Fourth Proportional to 3,074.79, 4,611.81 and 853.77

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Solution

The fourth proportional to 3,074.79, 4,611.81 and 853.77 is: 1,280.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.79 : 4,611.81 = 853.77 : x
  2. Step 2: Convert to fraction form
    3,074.79/4,611.81 = 853.77/x
  3. Step 3: Cross multiply
    3,074.79x = 4,611.81 × 853.77
  4. Step 4: Simplify right side
    3,074.79x = 3,937,425.02
  5. Step 5: Solve for x
    x = 3,937,425.02/3,074.79
  6. Step 6: Final answer
    x = 1,280.55

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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.