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Finding the Fourth Proportional to 19,521, 29,218.64 and 12,863

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Solution

The fourth proportional to 19,521, 29,218.64 and 12,863 is: 19,253.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,521 : 29,218.64 = 12,863 : x
  2. Step 2: Convert to fraction form
    19,521/29,218.64 = 12,863/x
  3. Step 3: Cross multiply
    19,521x = 29,218.64 × 12,863
  4. Step 4: Simplify right side
    19,521x = 375,839,366.32
  5. Step 5: Solve for x
    x = 375,839,366.32/19,521
  6. Step 6: Final answer
    x = 19,253.08

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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.