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Finding the Fourth Proportional to 6,140.70, 9,211.05 and 6,075.90

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Solution

The fourth proportional to 6,140.70, 9,211.05 and 6,075.90 is: 9,113.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140.70 : 9,211.05 = 6,075.90 : x
  2. Step 2: Convert to fraction form
    6,140.70/9,211.05 = 6,075.90/x
  3. Step 3: Cross multiply
    6,140.70x = 9,211.05 × 6,075.90
  4. Step 4: Simplify right side
    6,140.70x = 55,965,418.70
  5. Step 5: Solve for x
    x = 55,965,418.70/6,140.70
  6. Step 6: Final answer
    x = 9,113.85

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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.