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Finding the Fourth Proportional to 12,992.35, 19,488.66 and 4,678.30

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Solution

The fourth proportional to 12,992.35, 19,488.66 and 4,678.30 is: 7,017.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,992.35 : 19,488.66 = 4,678.30 : x
  2. Step 2: Convert to fraction form
    12,992.35/19,488.66 = 4,678.30/x
  3. Step 3: Cross multiply
    12,992.35x = 19,488.66 × 4,678.30
  4. Step 4: Simplify right side
    12,992.35x = 91,173,798.08
  5. Step 5: Solve for x
    x = 91,173,798.08/12,992.35
  6. Step 6: Final answer
    x = 7,017.50

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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.