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Finding the Fourth Proportional to 28,564.70, 42,846.60 and 7,788.20

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Solution

The fourth proportional to 28,564.70, 42,846.60 and 7,788.20 is: 11,682.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,564.70 : 42,846.60 = 7,788.20 : x
  2. Step 2: Convert to fraction form
    28,564.70/42,846.60 = 7,788.20/x
  3. Step 3: Cross multiply
    28,564.70x = 42,846.60 × 7,788.20
  4. Step 4: Simplify right side
    28,564.70x = 333,697,997.24
  5. Step 5: Solve for x
    x = 333,697,997.24/28,564.70
  6. Step 6: Final answer
    x = 11,682.18

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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.