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Finding the Fourth Proportional to 6,148.54, 9,224.00 and 1,989.58

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Solution

The fourth proportional to 6,148.54, 9,224.00 and 1,989.58 is: 2,984.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,148.54 : 9,224.00 = 1,989.58 : x
  2. Step 2: Convert to fraction form
    6,148.54/9,224.00 = 1,989.58/x
  3. Step 3: Cross multiply
    6,148.54x = 9,224.00 × 1,989.58
  4. Step 4: Simplify right side
    6,148.54x = 18,351,875.97
  5. Step 5: Solve for x
    x = 18,351,875.97/6,148.54
  6. Step 6: Final answer
    x = 2,984.75

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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.