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Finding the Fourth Proportional to 34,425.30, 47,509 and 19,319.20

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Solution

The fourth proportional to 34,425.30, 47,509 and 19,319.20 is: 26,661.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,425.30 : 47,509 = 19,319.20 : x
  2. Step 2: Convert to fraction form
    34,425.30/47,509 = 19,319.20/x
  3. Step 3: Cross multiply
    34,425.30x = 47,509 × 19,319.20
  4. Step 4: Simplify right side
    34,425.30x = 917,835,872.80
  5. Step 5: Solve for x
    x = 917,835,872.80/34,425.30
  6. Step 6: Final answer
    x = 26,661.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.