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Finding the Fourth Proportional to 13,137, 19,699.60 and 4,814.80

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Solution

The fourth proportional to 13,137, 19,699.60 and 4,814.80 is: 7,220.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,137 : 19,699.60 = 4,814.80 : x
  2. Step 2: Convert to fraction form
    13,137/19,699.60 = 4,814.80/x
  3. Step 3: Cross multiply
    13,137x = 19,699.60 × 4,814.80
  4. Step 4: Simplify right side
    13,137x = 94,849,634.08
  5. Step 5: Solve for x
    x = 94,849,634.08/13,137
  6. Step 6: Final answer
    x = 7,220.04

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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.