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Finding the Fourth Proportional to 29,345.78, 43,978.86 and 13,516.00

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Solution

The fourth proportional to 29,345.78, 43,978.86 and 13,516.00 is: 20,255.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,345.78 : 43,978.86 = 13,516.00 : x
  2. Step 2: Convert to fraction form
    29,345.78/43,978.86 = 13,516.00/x
  3. Step 3: Cross multiply
    29,345.78x = 43,978.86 × 13,516.00
  4. Step 4: Simplify right side
    29,345.78x = 594,418,366.36
  5. Step 5: Solve for x
    x = 594,418,366.36/29,345.78
  6. Step 6: Final answer
    x = 20,255.67

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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.