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Finding the Fourth Proportional to 28,357.02, 42,535.53 and 7,580.52

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Solution

The fourth proportional to 28,357.02, 42,535.53 and 7,580.52 is: 11,370.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,357.02 : 42,535.53 = 7,580.52 : x
  2. Step 2: Convert to fraction form
    28,357.02/42,535.53 = 7,580.52/x
  3. Step 3: Cross multiply
    28,357.02x = 42,535.53 × 7,580.52
  4. Step 4: Simplify right side
    28,357.02x = 322,441,435.88
  5. Step 5: Solve for x
    x = 322,441,435.88/28,357.02
  6. Step 6: Final answer
    x = 11,370.78

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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.