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Finding the Fourth Proportional to 28,715.58, 43,069.94 and 7,657.20

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Solution

The fourth proportional to 28,715.58, 43,069.94 and 7,657.20 is: 11,484.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,715.58 : 43,069.94 = 7,657.20 : x
  2. Step 2: Convert to fraction form
    28,715.58/43,069.94 = 7,657.20/x
  3. Step 3: Cross multiply
    28,715.58x = 43,069.94 × 7,657.20
  4. Step 4: Simplify right side
    28,715.58x = 329,795,163.71
  5. Step 5: Solve for x
    x = 329,795,163.71/28,715.58
  6. Step 6: Final answer
    x = 11,484.89

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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.