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Finding the Fourth Proportional to 38,984, 58,476 and 9,800

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Solution

The fourth proportional to 38,984, 58,476 and 9,800 is: 14,700

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,984 : 58,476 = 9,800 : x
  2. Step 2: Convert to fraction form
    38,984/58,476 = 9,800/x
  3. Step 3: Cross multiply
    38,984x = 58,476 × 9,800
  4. Step 4: Simplify right side
    38,984x = 573,064,800
  5. Step 5: Solve for x
    x = 573,064,800/38,984
  6. Step 6: Final answer
    x = 14,700

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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.