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Finding the Fourth Proportional to 4,363, 6,544.50 and 1,285

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Solution

The fourth proportional to 4,363, 6,544.50 and 1,285 is: 1,927.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,363 : 6,544.50 = 1,285 : x
  2. Step 2: Convert to fraction form
    4,363/6,544.50 = 1,285/x
  3. Step 3: Cross multiply
    4,363x = 6,544.50 × 1,285
  4. Step 4: Simplify right side
    4,363x = 8,409,682.50
  5. Step 5: Solve for x
    x = 8,409,682.50/4,363
  6. Step 6: Final answer
    x = 1,927.50

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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.