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Finding the Fourth Proportional to 5,407.88, 8,111.82 and 1,303.88

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Solution

The fourth proportional to 5,407.88, 8,111.82 and 1,303.88 is: 1,955.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.88 : 8,111.82 = 1,303.88 : x
  2. Step 2: Convert to fraction form
    5,407.88/8,111.82 = 1,303.88/x
  3. Step 3: Cross multiply
    5,407.88x = 8,111.82 × 1,303.88
  4. Step 4: Simplify right side
    5,407.88x = 10,576,799.30
  5. Step 5: Solve for x
    x = 10,576,799.30/5,407.88
  6. Step 6: Final answer
    x = 1,955.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.