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Finding the Fourth Proportional to 5,457.81, 7,531.78 and 2,973.81

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Solution

The fourth proportional to 5,457.81, 7,531.78 and 2,973.81 is: 4,103.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,457.81 : 7,531.78 = 2,973.81 : x
  2. Step 2: Convert to fraction form
    5,457.81/7,531.78 = 2,973.81/x
  3. Step 3: Cross multiply
    5,457.81x = 7,531.78 × 2,973.81
  4. Step 4: Simplify right side
    5,457.81x = 22,398,108.95
  5. Step 5: Solve for x
    x = 22,398,108.95/5,457.81
  6. Step 6: Final answer
    x = 4,103.86

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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.