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Finding the Fourth Proportional to 32,128.65, 48,206.70 and 13,412.84

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Solution

The fourth proportional to 32,128.65, 48,206.70 and 13,412.84 is: 20,124.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,128.65 : 48,206.70 = 13,412.84 : x
  2. Step 2: Convert to fraction form
    32,128.65/48,206.70 = 13,412.84/x
  3. Step 3: Cross multiply
    32,128.65x = 48,206.70 × 13,412.84
  4. Step 4: Simplify right side
    32,128.65x = 646,588,512.99
  5. Step 5: Solve for x
    x = 646,588,512.99/32,128.65
  6. Step 6: Final answer
    x = 20,124.98

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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.