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Finding the Fourth Proportional to 28,531.76, 42,797.52 and 7,755.20

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Solution

The fourth proportional to 28,531.76, 42,797.52 and 7,755.20 is: 11,632.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,531.76 : 42,797.52 = 7,755.20 : x
  2. Step 2: Convert to fraction form
    28,531.76/42,797.52 = 7,755.20/x
  3. Step 3: Cross multiply
    28,531.76x = 42,797.52 × 7,755.20
  4. Step 4: Simplify right side
    28,531.76x = 331,903,327.10
  5. Step 5: Solve for x
    x = 331,903,327.10/28,531.76
  6. Step 6: Final answer
    x = 11,632.77

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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.