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Finding the Fourth Proportional to 28,130.94, 42,192 and 9,410.94

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Solution

The fourth proportional to 28,130.94, 42,192 and 9,410.94 is: 14,114.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,130.94 : 42,192 = 9,410.94 : x
  2. Step 2: Convert to fraction form
    28,130.94/42,192 = 9,410.94/x
  3. Step 3: Cross multiply
    28,130.94x = 42,192 × 9,410.94
  4. Step 4: Simplify right side
    28,130.94x = 397,066,380.48
  5. Step 5: Solve for x
    x = 397,066,380.48/28,130.94
  6. Step 6: Final answer
    x = 14,114.93

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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.