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Finding the Fourth Proportional to 4,119, 6,178.50 and 1,655.52

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Solution

The fourth proportional to 4,119, 6,178.50 and 1,655.52 is: 2,483.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,119 : 6,178.50 = 1,655.52 : x
  2. Step 2: Convert to fraction form
    4,119/6,178.50 = 1,655.52/x
  3. Step 3: Cross multiply
    4,119x = 6,178.50 × 1,655.52
  4. Step 4: Simplify right side
    4,119x = 10,228,630.32
  5. Step 5: Solve for x
    x = 10,228,630.32/4,119
  6. Step 6: Final answer
    x = 2,483.28

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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.