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Finding the Fourth Proportional to 6,899.70, 10,349.90 and 1,970.06

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Solution

The fourth proportional to 6,899.70, 10,349.90 and 1,970.06 is: 2,955.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,899.70 : 10,349.90 = 1,970.06 : x
  2. Step 2: Convert to fraction form
    6,899.70/10,349.90 = 1,970.06/x
  3. Step 3: Cross multiply
    6,899.70x = 10,349.90 × 1,970.06
  4. Step 4: Simplify right side
    6,899.70x = 20,389,923.99
  5. Step 5: Solve for x
    x = 20,389,923.99/6,899.70
  6. Step 6: Final answer
    x = 2,955.19

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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.