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Finding the Fourth Proportional to 6,419, 9,628.50 and 1,555

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Solution

The fourth proportional to 6,419, 9,628.50 and 1,555 is: 2,332.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419 : 9,628.50 = 1,555 : x
  2. Step 2: Convert to fraction form
    6,419/9,628.50 = 1,555/x
  3. Step 3: Cross multiply
    6,419x = 9,628.50 × 1,555
  4. Step 4: Simplify right side
    6,419x = 14,972,317.50
  5. Step 5: Solve for x
    x = 14,972,317.50/6,419
  6. Step 6: Final answer
    x = 2,332.50

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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.