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Finding the Fourth Proportional to 7,162.90, 9,881.40 and 4,645.82

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Solution

The fourth proportional to 7,162.90, 9,881.40 and 4,645.82 is: 6,409.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162.90 : 9,881.40 = 4,645.82 : x
  2. Step 2: Convert to fraction form
    7,162.90/9,881.40 = 4,645.82/x
  3. Step 3: Cross multiply
    7,162.90x = 9,881.40 × 4,645.82
  4. Step 4: Simplify right side
    7,162.90x = 45,907,205.75
  5. Step 5: Solve for x
    x = 45,907,205.75/7,162.90
  6. Step 6: Final answer
    x = 6,409.03

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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.