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Finding the Fourth Proportional to 7,160.67, 9,881.91 and 4,643.82

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Solution

The fourth proportional to 7,160.67, 9,881.91 and 4,643.82 is: 6,408.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,160.67 : 9,881.91 = 4,643.82 : x
  2. Step 2: Convert to fraction form
    7,160.67/9,881.91 = 4,643.82/x
  3. Step 3: Cross multiply
    7,160.67x = 9,881.91 × 4,643.82
  4. Step 4: Simplify right side
    7,160.67x = 45,889,811.30
  5. Step 5: Solve for x
    x = 45,889,811.30/7,160.67
  6. Step 6: Final answer
    x = 6,408.59

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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.