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Finding the Fourth Proportional to 9,764.60, 14,636.10 and 5,385.20

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Solution

The fourth proportional to 9,764.60, 14,636.10 and 5,385.20 is: 8,071.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764.60 : 14,636.10 = 5,385.20 : x
  2. Step 2: Convert to fraction form
    9,764.60/14,636.10 = 5,385.20/x
  3. Step 3: Cross multiply
    9,764.60x = 14,636.10 × 5,385.20
  4. Step 4: Simplify right side
    9,764.60x = 78,818,325.72
  5. Step 5: Solve for x
    x = 78,818,325.72/9,764.60
  6. Step 6: Final answer
    x = 8,071.84

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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.