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Finding the Fourth Proportional to 51,348, 77,022 and 18,516

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Solution

The fourth proportional to 51,348, 77,022 and 18,516 is: 27,774

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,348 : 77,022 = 18,516 : x
  2. Step 2: Convert to fraction form
    51,348/77,022 = 18,516/x
  3. Step 3: Cross multiply
    51,348x = 77,022 × 18,516
  4. Step 4: Simplify right side
    51,348x = 1,426,139,352
  5. Step 5: Solve for x
    x = 1,426,139,352/51,348
  6. Step 6: Final answer
    x = 27,774

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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.