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Finding the Fourth Proportional to 6,970.70, 10,458.10 and 2,808.57

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Solution

The fourth proportional to 6,970.70, 10,458.10 and 2,808.57 is: 4,213.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.70 : 10,458.10 = 2,808.57 : x
  2. Step 2: Convert to fraction form
    6,970.70/10,458.10 = 2,808.57/x
  3. Step 3: Cross multiply
    6,970.70x = 10,458.10 × 2,808.57
  4. Step 4: Simplify right side
    6,970.70x = 29,372,289.82
  5. Step 5: Solve for x
    x = 29,372,289.82/6,970.70
  6. Step 6: Final answer
    x = 4,213.68

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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.