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Finding the Fourth Proportional to 19,453, 29,179.50 and 4,861

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Solution

The fourth proportional to 19,453, 29,179.50 and 4,861 is: 7,291.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,453 : 29,179.50 = 4,861 : x
  2. Step 2: Convert to fraction form
    19,453/29,179.50 = 4,861/x
  3. Step 3: Cross multiply
    19,453x = 29,179.50 × 4,861
  4. Step 4: Simplify right side
    19,453x = 141,841,549.50
  5. Step 5: Solve for x
    x = 141,841,549.50/19,453
  6. Step 6: Final answer
    x = 7,291.50

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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.