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Finding the Fourth Proportional to 6,137.88, 9,207.15 and 1,977.57

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Solution

The fourth proportional to 6,137.88, 9,207.15 and 1,977.57 is: 2,966.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.88 : 9,207.15 = 1,977.57 : x
  2. Step 2: Convert to fraction form
    6,137.88/9,207.15 = 1,977.57/x
  3. Step 3: Cross multiply
    6,137.88x = 9,207.15 × 1,977.57
  4. Step 4: Simplify right side
    6,137.88x = 18,207,783.63
  5. Step 5: Solve for x
    x = 18,207,783.63/6,137.88
  6. Step 6: Final answer
    x = 2,966.46

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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.