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Finding the Fourth Proportional to 6,898.70, 10,348.40 and 1,969.06

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Solution

The fourth proportional to 6,898.70, 10,348.40 and 1,969.06 is: 2,953.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898.70 : 10,348.40 = 1,969.06 : x
  2. Step 2: Convert to fraction form
    6,898.70/10,348.40 = 1,969.06/x
  3. Step 3: Cross multiply
    6,898.70x = 10,348.40 × 1,969.06
  4. Step 4: Simplify right side
    6,898.70x = 20,376,620.50
  5. Step 5: Solve for x
    x = 20,376,620.50/6,898.70
  6. Step 6: Final answer
    x = 2,953.69

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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.