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Finding the Fourth Proportional to 32,764, 49,146.34 and 8,140

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Solution

The fourth proportional to 32,764, 49,146.34 and 8,140 is: 12,210.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,764 : 49,146.34 = 8,140 : x
  2. Step 2: Convert to fraction form
    32,764/49,146.34 = 8,140/x
  3. Step 3: Cross multiply
    32,764x = 49,146.34 × 8,140
  4. Step 4: Simplify right side
    32,764x = 400,051,207.60
  5. Step 5: Solve for x
    x = 400,051,207.60/32,764
  6. Step 6: Final answer
    x = 12,210.08

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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.