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Finding the Fourth Proportional to 6,900.74, 10,349.58 and 1,970.27

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Solution

The fourth proportional to 6,900.74, 10,349.58 and 1,970.27 is: 2,954.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,900.74 : 10,349.58 = 1,970.27 : x
  2. Step 2: Convert to fraction form
    6,900.74/10,349.58 = 1,970.27/x
  3. Step 3: Cross multiply
    6,900.74x = 10,349.58 × 1,970.27
  4. Step 4: Simplify right side
    6,900.74x = 20,391,415.24
  5. Step 5: Solve for x
    x = 20,391,415.24/6,900.74
  6. Step 6: Final answer
    x = 2,954.96

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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.