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Finding the Fourth Proportional to 3,038.68, 4,558.38 and 986.68

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Solution

The fourth proportional to 3,038.68, 4,558.38 and 986.68 is: 1,480.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,038.68 : 4,558.38 = 986.68 : x
  2. Step 2: Convert to fraction form
    3,038.68/4,558.38 = 986.68/x
  3. Step 3: Cross multiply
    3,038.68x = 4,558.38 × 986.68
  4. Step 4: Simplify right side
    3,038.68x = 4,497,662.38
  5. Step 5: Solve for x
    x = 4,497,662.38/3,038.68
  6. Step 6: Final answer
    x = 1,480.14

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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.