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Finding the Fourth Proportional to 5,406, 8,109.54 and 1,510.44

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Solution

The fourth proportional to 5,406, 8,109.54 and 1,510.44 is: 2,265.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406 : 8,109.54 = 1,510.44 : x
  2. Step 2: Convert to fraction form
    5,406/8,109.54 = 1,510.44/x
  3. Step 3: Cross multiply
    5,406x = 8,109.54 × 1,510.44
  4. Step 4: Simplify right side
    5,406x = 12,248,973.60
  5. Step 5: Solve for x
    x = 12,248,973.60/5,406
  6. Step 6: Final answer
    x = 2,265.81

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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.