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Finding the Fourth Proportional to 5,677.80, 8,504.55 and 4,705.80

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Solution

The fourth proportional to 5,677.80, 8,504.55 and 4,705.80 is: 7,048.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.80 : 8,504.55 = 4,705.80 : x
  2. Step 2: Convert to fraction form
    5,677.80/8,504.55 = 4,705.80/x
  3. Step 3: Cross multiply
    5,677.80x = 8,504.55 × 4,705.80
  4. Step 4: Simplify right side
    5,677.80x = 40,020,711.39
  5. Step 5: Solve for x
    x = 40,020,711.39/5,677.80
  6. Step 6: Final answer
    x = 7,048.63

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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.