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Finding the Fourth Proportional to 35,801.64, 53,703 and 12,428.82

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Solution

The fourth proportional to 35,801.64, 53,703 and 12,428.82 is: 18,643.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,801.64 : 53,703 = 12,428.82 : x
  2. Step 2: Convert to fraction form
    35,801.64/53,703 = 12,428.82/x
  3. Step 3: Cross multiply
    35,801.64x = 53,703 × 12,428.82
  4. Step 4: Simplify right side
    35,801.64x = 667,464,920.46
  5. Step 5: Solve for x
    x = 667,464,920.46/35,801.64
  6. Step 6: Final answer
    x = 18,643.42

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1.5x scale

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.