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Finding the Fourth Proportional to 12,542, 18,810.60 and 6,300.34

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Solution

The fourth proportional to 12,542, 18,810.60 and 6,300.34 is: 9,449.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,542 : 18,810.60 = 6,300.34 : x
  2. Step 2: Convert to fraction form
    12,542/18,810.60 = 6,300.34/x
  3. Step 3: Cross multiply
    12,542x = 18,810.60 × 6,300.34
  4. Step 4: Simplify right side
    12,542x = 118,513,175.60
  5. Step 5: Solve for x
    x = 118,513,175.60/12,542
  6. Step 6: Final answer
    x = 9,449.30

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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.