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Finding the Fourth Proportional to 6,442.97, 9,664.46 and 1,762.63

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Solution

The fourth proportional to 6,442.97, 9,664.46 and 1,762.63 is: 2,643.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.97 : 9,664.46 = 1,762.63 : x
  2. Step 2: Convert to fraction form
    6,442.97/9,664.46 = 1,762.63/x
  3. Step 3: Cross multiply
    6,442.97x = 9,664.46 × 1,762.63
  4. Step 4: Simplify right side
    6,442.97x = 17,034,893.49
  5. Step 5: Solve for x
    x = 17,034,893.49/6,442.97
  6. Step 6: Final answer
    x = 2,643.95

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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.