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Finding the Fourth Proportional to 32,870.40, 49,305.60 and 12,091.20

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Solution

The fourth proportional to 32,870.40, 49,305.60 and 12,091.20 is: 18,136.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,870.40 : 49,305.60 = 12,091.20 : x
  2. Step 2: Convert to fraction form
    32,870.40/49,305.60 = 12,091.20/x
  3. Step 3: Cross multiply
    32,870.40x = 49,305.60 × 12,091.20
  4. Step 4: Simplify right side
    32,870.40x = 596,163,870.72
  5. Step 5: Solve for x
    x = 596,163,870.72/32,870.40
  6. Step 6: Final answer
    x = 18,136.80

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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.