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Finding the Fourth Proportional to 7,670.70, 11,506.25 and 2,990.52

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Solution

The fourth proportional to 7,670.70, 11,506.25 and 2,990.52 is: 4,485.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,670.70 : 11,506.25 = 2,990.52 : x
  2. Step 2: Convert to fraction form
    7,670.70/11,506.25 = 2,990.52/x
  3. Step 3: Cross multiply
    7,670.70x = 11,506.25 × 2,990.52
  4. Step 4: Simplify right side
    7,670.70x = 34,409,678.23
  5. Step 5: Solve for x
    x = 34,409,678.23/7,670.70
  6. Step 6: Final answer
    x = 4,485.86

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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.