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Finding the Fourth Proportional to 6,734.90, 10,054.22 and 6,290.21

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Solution

The fourth proportional to 6,734.90, 10,054.22 and 6,290.21 is: 9,390.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,734.90 : 10,054.22 = 6,290.21 : x
  2. Step 2: Convert to fraction form
    6,734.90/10,054.22 = 6,290.21/x
  3. Step 3: Cross multiply
    6,734.90x = 10,054.22 × 6,290.21
  4. Step 4: Simplify right side
    6,734.90x = 63,243,073.46
  5. Step 5: Solve for x
    x = 63,243,073.46/6,734.90
  6. Step 6: Final answer
    x = 9,390.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.