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Finding the Fourth Proportional to 35,429.70, 53,141.04 and 12,055.80

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Solution

The fourth proportional to 35,429.70, 53,141.04 and 12,055.80 is: 18,082.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,429.70 : 53,141.04 = 12,055.80 : x
  2. Step 2: Convert to fraction form
    35,429.70/53,141.04 = 12,055.80/x
  3. Step 3: Cross multiply
    35,429.70x = 53,141.04 × 12,055.80
  4. Step 4: Simplify right side
    35,429.70x = 640,657,750.03
  5. Step 5: Solve for x
    x = 640,657,750.03/35,429.70
  6. Step 6: Final answer
    x = 18,082.51

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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.