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Finding the Fourth Proportional to 5,420, 8,130.72 and 2,342.72

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Solution

The fourth proportional to 5,420, 8,130.72 and 2,342.72 is: 3,514.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420 : 8,130.72 = 2,342.72 : x
  2. Step 2: Convert to fraction form
    5,420/8,130.72 = 2,342.72/x
  3. Step 3: Cross multiply
    5,420x = 8,130.72 × 2,342.72
  4. Step 4: Simplify right side
    5,420x = 19,048,000.36
  5. Step 5: Solve for x
    x = 19,048,000.36/5,420
  6. Step 6: Final answer
    x = 3,514.39

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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.