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Finding the Fourth Proportional to 37,680, 56,520 and 9,978

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Solution

The fourth proportional to 37,680, 56,520 and 9,978 is: 14,967

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,680 : 56,520 = 9,978 : x
  2. Step 2: Convert to fraction form
    37,680/56,520 = 9,978/x
  3. Step 3: Cross multiply
    37,680x = 56,520 × 9,978
  4. Step 4: Simplify right side
    37,680x = 563,956,560
  5. Step 5: Solve for x
    x = 563,956,560/37,680
  6. Step 6: Final answer
    x = 14,967

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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.