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Finding the Fourth Proportional to 32,752, 49,128.32 and 8,128

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Solution

The fourth proportional to 32,752, 49,128.32 and 8,128 is: 12,192.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,752 : 49,128.32 = 8,128 : x
  2. Step 2: Convert to fraction form
    32,752/49,128.32 = 8,128/x
  3. Step 3: Cross multiply
    32,752x = 49,128.32 × 8,128
  4. Step 4: Simplify right side
    32,752x = 399,314,984.96
  5. Step 5: Solve for x
    x = 399,314,984.96/32,752
  6. Step 6: Final answer
    x = 12,192.08

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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.