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Finding the Fourth Proportional to 29,047, 43,570.50 and 7,159

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Solution

The fourth proportional to 29,047, 43,570.50 and 7,159 is: 10,738.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,047 : 43,570.50 = 7,159 : x
  2. Step 2: Convert to fraction form
    29,047/43,570.50 = 7,159/x
  3. Step 3: Cross multiply
    29,047x = 43,570.50 × 7,159
  4. Step 4: Simplify right side
    29,047x = 311,921,209.50
  5. Step 5: Solve for x
    x = 311,921,209.50/29,047
  6. Step 6: Final answer
    x = 10,738.50

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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.