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Finding the Fourth Proportional to 10,978.70, 16,420.05 and 9,817.10

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Solution

The fourth proportional to 10,978.70, 16,420.05 and 9,817.10 is: 14,682.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,978.70 : 16,420.05 = 9,817.10 : x
  2. Step 2: Convert to fraction form
    10,978.70/16,420.05 = 9,817.10/x
  3. Step 3: Cross multiply
    10,978.70x = 16,420.05 × 9,817.10
  4. Step 4: Simplify right side
    10,978.70x = 161,197,272.86
  5. Step 5: Solve for x
    x = 161,197,272.86/10,978.70
  6. Step 6: Final answer
    x = 14,682.73

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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.