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Finding the Fourth Proportional to 52,900.40, 79,350.24 and 13,457

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Solution

The fourth proportional to 52,900.40, 79,350.24 and 13,457 is: 20,185.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,900.40 : 79,350.24 = 13,457 : x
  2. Step 2: Convert to fraction form
    52,900.40/79,350.24 = 13,457/x
  3. Step 3: Cross multiply
    52,900.40x = 79,350.24 × 13,457
  4. Step 4: Simplify right side
    52,900.40x = 1,067,816,179.68
  5. Step 5: Solve for x
    x = 1,067,816,179.68/52,900.40
  6. Step 6: Final answer
    x = 20,185.41

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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.