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Finding the Fourth Proportional to 28,116.56, 42,174.02 and 7,340.06

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Solution

The fourth proportional to 28,116.56, 42,174.02 and 7,340.06 is: 11,009.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,116.56 : 42,174.02 = 7,340.06 : x
  2. Step 2: Convert to fraction form
    28,116.56/42,174.02 = 7,340.06/x
  3. Step 3: Cross multiply
    28,116.56x = 42,174.02 × 7,340.06
  4. Step 4: Simplify right side
    28,116.56x = 309,559,837.24
  5. Step 5: Solve for x
    x = 309,559,837.24/28,116.56
  6. Step 6: Final answer
    x = 11,009.88

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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.