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Finding the Fourth Proportional to 54,807.84, 82,137.24 and 28,458

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Solution

The fourth proportional to 54,807.84, 82,137.24 and 28,458 is: 42,648.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,807.84 : 82,137.24 = 28,458 : x
  2. Step 2: Convert to fraction form
    54,807.84/82,137.24 = 28,458/x
  3. Step 3: Cross multiply
    54,807.84x = 82,137.24 × 28,458
  4. Step 4: Simplify right side
    54,807.84x = 2,337,461,575.92
  5. Step 5: Solve for x
    x = 2,337,461,575.92/54,807.84
  6. Step 6: Final answer
    x = 42,648.31

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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.