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Finding the Fourth Proportional to 32,754, 49,131.32 and 8,130

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Solution

The fourth proportional to 32,754, 49,131.32 and 8,130 is: 12,195.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,754 : 49,131.32 = 8,130 : x
  2. Step 2: Convert to fraction form
    32,754/49,131.32 = 8,130/x
  3. Step 3: Cross multiply
    32,754x = 49,131.32 × 8,130
  4. Step 4: Simplify right side
    32,754x = 399,437,631.60
  5. Step 5: Solve for x
    x = 399,437,631.60/32,754
  6. Step 6: Final answer
    x = 12,195.08

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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.