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Finding the Fourth Proportional to 6,456.63, 9,686.56 and 1,839.63

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Solution

The fourth proportional to 6,456.63, 9,686.56 and 1,839.63 is: 2,759.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.63 : 9,686.56 = 1,839.63 : x
  2. Step 2: Convert to fraction form
    6,456.63/9,686.56 = 1,839.63/x
  3. Step 3: Cross multiply
    6,456.63x = 9,686.56 × 1,839.63
  4. Step 4: Simplify right side
    6,456.63x = 17,819,686.37
  5. Step 5: Solve for x
    x = 17,819,686.37/6,456.63
  6. Step 6: Final answer
    x = 2,759.91

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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.