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Finding the Fourth Proportional to 12,646.40, 18,975.99 and 6,078.11

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Solution

The fourth proportional to 12,646.40, 18,975.99 and 6,078.11 is: 9,120.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.40 : 18,975.99 = 6,078.11 : x
  2. Step 2: Convert to fraction form
    12,646.40/18,975.99 = 6,078.11/x
  3. Step 3: Cross multiply
    12,646.40x = 18,975.99 × 6,078.11
  4. Step 4: Simplify right side
    12,646.40x = 115,338,154.58
  5. Step 5: Solve for x
    x = 115,338,154.58/12,646.40
  6. Step 6: Final answer
    x = 9,120.24

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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.