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Finding the Fourth Proportional to 53,946, 80,919 and 17,010

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Solution

The fourth proportional to 53,946, 80,919 and 17,010 is: 25,515

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,946 : 80,919 = 17,010 : x
  2. Step 2: Convert to fraction form
    53,946/80,919 = 17,010/x
  3. Step 3: Cross multiply
    53,946x = 80,919 × 17,010
  4. Step 4: Simplify right side
    53,946x = 1,376,432,190
  5. Step 5: Solve for x
    x = 1,376,432,190/53,946
  6. Step 6: Final answer
    x = 25,515

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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.