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Finding the Fourth Proportional to 6,293.56, 8,685.36 and 3,499

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Solution

The fourth proportional to 6,293.56, 8,685.36 and 3,499 is: 4,828.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293.56 : 8,685.36 = 3,499 : x
  2. Step 2: Convert to fraction form
    6,293.56/8,685.36 = 3,499/x
  3. Step 3: Cross multiply
    6,293.56x = 8,685.36 × 3,499
  4. Step 4: Simplify right side
    6,293.56x = 30,390,074.64
  5. Step 5: Solve for x
    x = 30,390,074.64/6,293.56
  6. Step 6: Final answer
    x = 4,828.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.