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Finding the Fourth Proportional to 6,705.54, 9,254.34 and 3,721.40

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Solution

The fourth proportional to 6,705.54, 9,254.34 and 3,721.40 is: 5,135.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.54 : 9,254.34 = 3,721.40 : x
  2. Step 2: Convert to fraction form
    6,705.54/9,254.34 = 3,721.40/x
  3. Step 3: Cross multiply
    6,705.54x = 9,254.34 × 3,721.40
  4. Step 4: Simplify right side
    6,705.54x = 34,439,054.60
  5. Step 5: Solve for x
    x = 34,439,054.60/6,705.54
  6. Step 6: Final answer
    x = 5,135.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.