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Finding the Fourth Proportional to 29,319, 43,978.50 and 7,431

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Solution

The fourth proportional to 29,319, 43,978.50 and 7,431 is: 11,146.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,319 : 43,978.50 = 7,431 : x
  2. Step 2: Convert to fraction form
    29,319/43,978.50 = 7,431/x
  3. Step 3: Cross multiply
    29,319x = 43,978.50 × 7,431
  4. Step 4: Simplify right side
    29,319x = 326,804,233.50
  5. Step 5: Solve for x
    x = 326,804,233.50/29,319
  6. Step 6: Final answer
    x = 11,146.50

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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.