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Finding the Fourth Proportional to 6,859.42, 9,409.69 and 6,676.90

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Solution

The fourth proportional to 6,859.42, 9,409.69 and 6,676.90 is: 9,159.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859.42 : 9,409.69 = 6,676.90 : x
  2. Step 2: Convert to fraction form
    6,859.42/9,409.69 = 6,676.90/x
  3. Step 3: Cross multiply
    6,859.42x = 9,409.69 × 6,676.90
  4. Step 4: Simplify right side
    6,859.42x = 62,827,559.16
  5. Step 5: Solve for x
    x = 62,827,559.16/6,859.42
  6. Step 6: Final answer
    x = 9,159.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.