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Finding the Fourth Proportional to 28,110.56, 42,165.68 and 7,334

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Solution

The fourth proportional to 28,110.56, 42,165.68 and 7,334 is: 11,000.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,110.56 : 42,165.68 = 7,334 : x
  2. Step 2: Convert to fraction form
    28,110.56/42,165.68 = 7,334/x
  3. Step 3: Cross multiply
    28,110.56x = 42,165.68 × 7,334
  4. Step 4: Simplify right side
    28,110.56x = 309,243,097.12
  5. Step 5: Solve for x
    x = 309,243,097.12/28,110.56
  6. Step 6: Final answer
    x = 11,000.96

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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.