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Finding the Fourth Proportional to 7,311.70, 10,967.45 and 1,765.01

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Solution

The fourth proportional to 7,311.70, 10,967.45 and 1,765.01 is: 2,647.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,311.70 : 10,967.45 = 1,765.01 : x
  2. Step 2: Convert to fraction form
    7,311.70/10,967.45 = 1,765.01/x
  3. Step 3: Cross multiply
    7,311.70x = 10,967.45 × 1,765.01
  4. Step 4: Simplify right side
    7,311.70x = 19,357,704.46
  5. Step 5: Solve for x
    x = 19,357,704.46/7,311.70
  6. Step 6: Final answer
    x = 2,647.50

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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.