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Finding the Fourth Proportional to 30,466, 42,048.84 and 17,218

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Solution

The fourth proportional to 30,466, 42,048.84 and 17,218 is: 23,764.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,466 : 42,048.84 = 17,218 : x
  2. Step 2: Convert to fraction form
    30,466/42,048.84 = 17,218/x
  3. Step 3: Cross multiply
    30,466x = 42,048.84 × 17,218
  4. Step 4: Simplify right side
    30,466x = 723,996,927.12
  5. Step 5: Solve for x
    x = 723,996,927.12/30,466
  6. Step 6: Final answer
    x = 23,764.10

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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.