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Finding the Fourth Proportional to 28,554, 42,831 and 7,777.50

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Solution

The fourth proportional to 28,554, 42,831 and 7,777.50 is: 11,666.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,554 : 42,831 = 7,777.50 : x
  2. Step 2: Convert to fraction form
    28,554/42,831 = 7,777.50/x
  3. Step 3: Cross multiply
    28,554x = 42,831 × 7,777.50
  4. Step 4: Simplify right side
    28,554x = 333,118,102.50
  5. Step 5: Solve for x
    x = 333,118,102.50/28,554
  6. Step 6: Final answer
    x = 11,666.25

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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.