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Finding the Fourth Proportional to 6,109.34, 8,430.84 and 3,314.84

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Solution

The fourth proportional to 6,109.34, 8,430.84 and 3,314.84 is: 4,574.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.34 : 8,430.84 = 3,314.84 : x
  2. Step 2: Convert to fraction form
    6,109.34/8,430.84 = 3,314.84/x
  3. Step 3: Cross multiply
    6,109.34x = 8,430.84 × 3,314.84
  4. Step 4: Simplify right side
    6,109.34x = 27,946,843.51
  5. Step 5: Solve for x
    x = 27,946,843.51/6,109.34
  6. Step 6: Final answer
    x = 4,574.45

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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.