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Finding the Fourth Proportional to 7,174.88, 10,762.27 and 1,980.75

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Solution

The fourth proportional to 7,174.88, 10,762.27 and 1,980.75 is: 2,971.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.88 : 10,762.27 = 1,980.75 : x
  2. Step 2: Convert to fraction form
    7,174.88/10,762.27 = 1,980.75/x
  3. Step 3: Cross multiply
    7,174.88x = 10,762.27 × 1,980.75
  4. Step 4: Simplify right side
    7,174.88x = 21,317,401.71
  5. Step 5: Solve for x
    x = 21,317,401.71/7,174.88
  6. Step 6: Final answer
    x = 2,971.12

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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.