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Finding the Fourth Proportional to 6,137.04, 9,204.48 and 1,978.08

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Solution

The fourth proportional to 6,137.04, 9,204.48 and 1,978.08 is: 2,966.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.04 : 9,204.48 = 1,978.08 : x
  2. Step 2: Convert to fraction form
    6,137.04/9,204.48 = 1,978.08/x
  3. Step 3: Cross multiply
    6,137.04x = 9,204.48 × 1,978.08
  4. Step 4: Simplify right side
    6,137.04x = 18,207,197.80
  5. Step 5: Solve for x
    x = 18,207,197.80/6,137.04
  6. Step 6: Final answer
    x = 2,966.77

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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.