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Finding the Fourth Proportional to 34,507.32, 51,750 and 11,128.32

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Solution

The fourth proportional to 34,507.32, 51,750 and 11,128.32 is: 16,688.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,507.32 : 51,750 = 11,128.32 : x
  2. Step 2: Convert to fraction form
    34,507.32/51,750 = 11,128.32/x
  3. Step 3: Cross multiply
    34,507.32x = 51,750 × 11,128.32
  4. Step 4: Simplify right side
    34,507.32x = 575,890,560
  5. Step 5: Solve for x
    x = 575,890,560/34,507.32
  6. Step 6: Final answer
    x = 16,688.94

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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.