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Finding the Fourth Proportional to 12,924.60, 19,387 and 7,078.02

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Solution

The fourth proportional to 12,924.60, 19,387 and 7,078.02 is: 10,617.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,924.60 : 19,387 = 7,078.02 : x
  2. Step 2: Convert to fraction form
    12,924.60/19,387 = 7,078.02/x
  3. Step 3: Cross multiply
    12,924.60x = 19,387 × 7,078.02
  4. Step 4: Simplify right side
    12,924.60x = 137,221,573.74
  5. Step 5: Solve for x
    x = 137,221,573.74/12,924.60
  6. Step 6: Final answer
    x = 10,617.08

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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.