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Finding the Fourth Proportional to 6,843.77, 10,266.06 and 1,913.70

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Solution

The fourth proportional to 6,843.77, 10,266.06 and 1,913.70 is: 2,870.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.77 : 10,266.06 = 1,913.70 : x
  2. Step 2: Convert to fraction form
    6,843.77/10,266.06 = 1,913.70/x
  3. Step 3: Cross multiply
    6,843.77x = 10,266.06 × 1,913.70
  4. Step 4: Simplify right side
    6,843.77x = 19,646,159.02
  5. Step 5: Solve for x
    x = 19,646,159.02/6,843.77
  6. Step 6: Final answer
    x = 2,870.67

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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.