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Finding the Fourth Proportional to 6,368.81, 9,551.56 and 1,984.01

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Solution

The fourth proportional to 6,368.81, 9,551.56 and 1,984.01 is: 2,975.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,368.81 : 9,551.56 = 1,984.01 : x
  2. Step 2: Convert to fraction form
    6,368.81/9,551.56 = 1,984.01/x
  3. Step 3: Cross multiply
    6,368.81x = 9,551.56 × 1,984.01
  4. Step 4: Simplify right side
    6,368.81x = 18,950,390.56
  5. Step 5: Solve for x
    x = 18,950,390.56/6,368.81
  6. Step 6: Final answer
    x = 2,975.50

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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.