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Finding the Fourth Proportional to 7,313.67, 10,970.64 and 2,119.50

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Solution

The fourth proportional to 7,313.67, 10,970.64 and 2,119.50 is: 3,179.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,313.67 : 10,970.64 = 2,119.50 : x
  2. Step 2: Convert to fraction form
    7,313.67/10,970.64 = 2,119.50/x
  3. Step 3: Cross multiply
    7,313.67x = 10,970.64 × 2,119.50
  4. Step 4: Simplify right side
    7,313.67x = 23,252,271.48
  5. Step 5: Solve for x
    x = 23,252,271.48/7,313.67
  6. Step 6: Final answer
    x = 3,179.29

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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.