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Finding the Fourth Proportional to 5,845.40, 8,770.70 and 3,071.40

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Solution

The fourth proportional to 5,845.40, 8,770.70 and 3,071.40 is: 4,608.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,845.40 : 8,770.70 = 3,071.40 : x
  2. Step 2: Convert to fraction form
    5,845.40/8,770.70 = 3,071.40/x
  3. Step 3: Cross multiply
    5,845.40x = 8,770.70 × 3,071.40
  4. Step 4: Simplify right side
    5,845.40x = 26,938,327.98
  5. Step 5: Solve for x
    x = 26,938,327.98/5,845.40
  6. Step 6: Final answer
    x = 4,608.47

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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.