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Finding the Fourth Proportional to 29,142, 43,720.38 and 8,365.50

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Solution

The fourth proportional to 29,142, 43,720.38 and 8,365.50 is: 12,550.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,142 : 43,720.38 = 8,365.50 : x
  2. Step 2: Convert to fraction form
    29,142/43,720.38 = 8,365.50/x
  3. Step 3: Cross multiply
    29,142x = 43,720.38 × 8,365.50
  4. Step 4: Simplify right side
    29,142x = 365,742,838.89
  5. Step 5: Solve for x
    x = 365,742,838.89/29,142
  6. Step 6: Final answer
    x = 12,550.37

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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.