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Finding the Fourth Proportional to 35,906, 53,859 and 12,526.16

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Solution

The fourth proportional to 35,906, 53,859 and 12,526.16 is: 18,789.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,906 : 53,859 = 12,526.16 : x
  2. Step 2: Convert to fraction form
    35,906/53,859 = 12,526.16/x
  3. Step 3: Cross multiply
    35,906x = 53,859 × 12,526.16
  4. Step 4: Simplify right side
    35,906x = 674,646,451.44
  5. Step 5: Solve for x
    x = 674,646,451.44/35,906
  6. Step 6: Final answer
    x = 18,789.24

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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.