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Finding the Fourth Proportional to 28,530.64, 42,796.14 and 7,754.14

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Solution

The fourth proportional to 28,530.64, 42,796.14 and 7,754.14 is: 11,631.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,530.64 : 42,796.14 = 7,754.14 : x
  2. Step 2: Convert to fraction form
    28,530.64/42,796.14 = 7,754.14/x
  3. Step 3: Cross multiply
    28,530.64x = 42,796.14 × 7,754.14
  4. Step 4: Simplify right side
    28,530.64x = 331,847,261.02
  5. Step 5: Solve for x
    x = 331,847,261.02/28,530.64
  6. Step 6: Final answer
    x = 11,631.26

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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.