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Finding the Fourth Proportional to 29,319, 43,978.50 and 12,903

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Solution

The fourth proportional to 29,319, 43,978.50 and 12,903 is: 19,354.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,319 : 43,978.50 = 12,903 : x
  2. Step 2: Convert to fraction form
    29,319/43,978.50 = 12,903/x
  3. Step 3: Cross multiply
    29,319x = 43,978.50 × 12,903
  4. Step 4: Simplify right side
    29,319x = 567,454,585.50
  5. Step 5: Solve for x
    x = 567,454,585.50/29,319
  6. Step 6: Final answer
    x = 19,354.50

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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.