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Finding the Fourth Proportional to 34,380, 47,444.40 and 19,476

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Solution

The fourth proportional to 34,380, 47,444.40 and 19,476 is: 26,876.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,380 : 47,444.40 = 19,476 : x
  2. Step 2: Convert to fraction form
    34,380/47,444.40 = 19,476/x
  3. Step 3: Cross multiply
    34,380x = 47,444.40 × 19,476
  4. Step 4: Simplify right side
    34,380x = 924,027,134.40
  5. Step 5: Solve for x
    x = 924,027,134.40/34,380
  6. Step 6: Final answer
    x = 26,876.88

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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.