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Finding the Fourth Proportional to 51,380, 77,070 and 12,468

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Solution

The fourth proportional to 51,380, 77,070 and 12,468 is: 18,702

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,380 : 77,070 = 12,468 : x
  2. Step 2: Convert to fraction form
    51,380/77,070 = 12,468/x
  3. Step 3: Cross multiply
    51,380x = 77,070 × 12,468
  4. Step 4: Simplify right side
    51,380x = 960,908,760
  5. Step 5: Solve for x
    x = 960,908,760/51,380
  6. Step 6: Final answer
    x = 18,702

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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.