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Finding the Fourth Proportional to 6,442.70, 9,664.50 and 2,060.50

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Solution

The fourth proportional to 6,442.70, 9,664.50 and 2,060.50 is: 3,090.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.70 : 9,664.50 = 2,060.50 : x
  2. Step 2: Convert to fraction form
    6,442.70/9,664.50 = 2,060.50/x
  3. Step 3: Cross multiply
    6,442.70x = 9,664.50 × 2,060.50
  4. Step 4: Simplify right side
    6,442.70x = 19,913,702.25
  5. Step 5: Solve for x
    x = 19,913,702.25/6,442.70
  6. Step 6: Final answer
    x = 3,090.89

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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.