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Finding the Fourth Proportional to 19,260, 26,578.98 and 10,876.68

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Solution

The fourth proportional to 19,260, 26,578.98 and 10,876.68 is: 15,009.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,260 : 26,578.98 = 10,876.68 : x
  2. Step 2: Convert to fraction form
    19,260/26,578.98 = 10,876.68/x
  3. Step 3: Cross multiply
    19,260x = 26,578.98 × 10,876.68
  4. Step 4: Simplify right side
    19,260x = 289,091,060.19
  5. Step 5: Solve for x
    x = 289,091,060.19/19,260
  6. Step 6: Final answer
    x = 15,009.92

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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.