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Finding the Fourth Proportional to 19,531, 26,952.78 and 10,578.51

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Solution

The fourth proportional to 19,531, 26,952.78 and 10,578.51 is: 14,598.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,531 : 26,952.78 = 10,578.51 : x
  2. Step 2: Convert to fraction form
    19,531/26,952.78 = 10,578.51/x
  3. Step 3: Cross multiply
    19,531x = 26,952.78 × 10,578.51
  4. Step 4: Simplify right side
    19,531x = 285,120,252.76
  5. Step 5: Solve for x
    x = 285,120,252.76/19,531
  6. Step 6: Final answer
    x = 14,598.34

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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.