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Finding the Fourth Proportional to 32,730.40, 49,095.60 and 8,106.40

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Solution

The fourth proportional to 32,730.40, 49,095.60 and 8,106.40 is: 12,159.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,730.40 : 49,095.60 = 8,106.40 : x
  2. Step 2: Convert to fraction form
    32,730.40/49,095.60 = 8,106.40/x
  3. Step 3: Cross multiply
    32,730.40x = 49,095.60 × 8,106.40
  4. Step 4: Simplify right side
    32,730.40x = 397,988,571.84
  5. Step 5: Solve for x
    x = 397,988,571.84/32,730.40
  6. Step 6: Final answer
    x = 12,159.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.