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Finding the Fourth Proportional to 6,406.56, 8,839.53 and 3,888.14

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Solution

The fourth proportional to 6,406.56, 8,839.53 and 3,888.14 is: 5,364.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.56 : 8,839.53 = 3,888.14 : x
  2. Step 2: Convert to fraction form
    6,406.56/8,839.53 = 3,888.14/x
  3. Step 3: Cross multiply
    6,406.56x = 8,839.53 × 3,888.14
  4. Step 4: Simplify right side
    6,406.56x = 34,369,285.98
  5. Step 5: Solve for x
    x = 34,369,285.98/6,406.56
  6. Step 6: Final answer
    x = 5,364.70

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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.