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Finding the Fourth Proportional to 6,387.16, 9,570.48 and 4,194.22

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Solution

The fourth proportional to 6,387.16, 9,570.48 and 4,194.22 is: 6,284.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,387.16 : 9,570.48 = 4,194.22 : x
  2. Step 2: Convert to fraction form
    6,387.16/9,570.48 = 4,194.22/x
  3. Step 3: Cross multiply
    6,387.16x = 9,570.48 × 4,194.22
  4. Step 4: Simplify right side
    6,387.16x = 40,140,698.63
  5. Step 5: Solve for x
    x = 40,140,698.63/6,387.16
  6. Step 6: Final answer
    x = 6,284.59

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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.