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Finding the Fourth Proportional to 7,311.98, 10,970.50 and 2,381.60

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Solution

The fourth proportional to 7,311.98, 10,970.50 and 2,381.60 is: 3,573.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,311.98 : 10,970.50 = 2,381.60 : x
  2. Step 2: Convert to fraction form
    7,311.98/10,970.50 = 2,381.60/x
  3. Step 3: Cross multiply
    7,311.98x = 10,970.50 × 2,381.60
  4. Step 4: Simplify right side
    7,311.98x = 26,127,342.80
  5. Step 5: Solve for x
    x = 26,127,342.80/7,311.98
  6. Step 6: Final answer
    x = 3,573.22

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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.