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Finding the Fourth Proportional to 34,752, 52,137.60 and 10,128

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Solution

The fourth proportional to 34,752, 52,137.60 and 10,128 is: 15,194.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,752 : 52,137.60 = 10,128 : x
  2. Step 2: Convert to fraction form
    34,752/52,137.60 = 10,128/x
  3. Step 3: Cross multiply
    34,752x = 52,137.60 × 10,128
  4. Step 4: Simplify right side
    34,752x = 528,049,612.80
  5. Step 5: Solve for x
    x = 528,049,612.80/34,752
  6. Step 6: Final answer
    x = 15,194.80

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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.