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Finding the Fourth Proportional to 28,525, 42,787.68 and 7,748.68

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Solution

The fourth proportional to 28,525, 42,787.68 and 7,748.68 is: 11,623.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,525 : 42,787.68 = 7,748.68 : x
  2. Step 2: Convert to fraction form
    28,525/42,787.68 = 7,748.68/x
  3. Step 3: Cross multiply
    28,525x = 42,787.68 × 7,748.68
  4. Step 4: Simplify right side
    28,525x = 331,548,040.26
  5. Step 5: Solve for x
    x = 331,548,040.26/28,525
  6. Step 6: Final answer
    x = 11,623.07

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1.5x scale

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.