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Finding the Fourth Proportional to 6,513.85, 9,770.70 and 1,583.49

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Solution

The fourth proportional to 6,513.85, 9,770.70 and 1,583.49 is: 2,375.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.85 : 9,770.70 = 1,583.49 : x
  2. Step 2: Convert to fraction form
    6,513.85/9,770.70 = 1,583.49/x
  3. Step 3: Cross multiply
    6,513.85x = 9,770.70 × 1,583.49
  4. Step 4: Simplify right side
    6,513.85x = 15,471,805.74
  5. Step 5: Solve for x
    x = 15,471,805.74/6,513.85
  6. Step 6: Final answer
    x = 2,375.22

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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.