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Finding the Fourth Proportional to 9,996.50, 14,994.75 and 3,071

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Solution

The fourth proportional to 9,996.50, 14,994.75 and 3,071 is: 4,606.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,996.50 : 14,994.75 = 3,071 : x
  2. Step 2: Convert to fraction form
    9,996.50/14,994.75 = 3,071/x
  3. Step 3: Cross multiply
    9,996.50x = 14,994.75 × 3,071
  4. Step 4: Simplify right side
    9,996.50x = 46,048,877.25
  5. Step 5: Solve for x
    x = 46,048,877.25/9,996.50
  6. Step 6: Final answer
    x = 4,606.50

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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.