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Finding the Fourth Proportional to 19,488.79, 26,876.88 and 12,772

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Solution

The fourth proportional to 19,488.79, 26,876.88 and 12,772 is: 17,613.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,488.79 : 26,876.88 = 12,772 : x
  2. Step 2: Convert to fraction form
    19,488.79/26,876.88 = 12,772/x
  3. Step 3: Cross multiply
    19,488.79x = 26,876.88 × 12,772
  4. Step 4: Simplify right side
    19,488.79x = 343,271,511.36
  5. Step 5: Solve for x
    x = 343,271,511.36/19,488.79
  6. Step 6: Final answer
    x = 17,613.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.