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Finding the Fourth Proportional to 6,138.84, 9,207.93 and 1,978.75

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Solution

The fourth proportional to 6,138.84, 9,207.93 and 1,978.75 is: 2,968.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.84 : 9,207.93 = 1,978.75 : x
  2. Step 2: Convert to fraction form
    6,138.84/9,207.93 = 1,978.75/x
  3. Step 3: Cross multiply
    6,138.84x = 9,207.93 × 1,978.75
  4. Step 4: Simplify right side
    6,138.84x = 18,220,225.18
  5. Step 5: Solve for x
    x = 18,220,225.18/6,138.84
  6. Step 6: Final answer
    x = 2,968.03

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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.