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Finding the Fourth Proportional to 41,987, 62,980.50 and 14,285

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Solution

The fourth proportional to 41,987, 62,980.50 and 14,285 is: 21,427.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,987 : 62,980.50 = 14,285 : x
  2. Step 2: Convert to fraction form
    41,987/62,980.50 = 14,285/x
  3. Step 3: Cross multiply
    41,987x = 62,980.50 × 14,285
  4. Step 4: Simplify right side
    41,987x = 899,676,442.50
  5. Step 5: Solve for x
    x = 899,676,442.50/41,987
  6. Step 6: Final answer
    x = 21,427.50

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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.