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Finding the Fourth Proportional to 35,426, 53,146 and 10,125.74

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Solution

The fourth proportional to 35,426, 53,146 and 10,125.74 is: 15,190.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,426 : 53,146 = 10,125.74 : x
  2. Step 2: Convert to fraction form
    35,426/53,146 = 10,125.74/x
  3. Step 3: Cross multiply
    35,426x = 53,146 × 10,125.74
  4. Step 4: Simplify right side
    35,426x = 538,142,578.04
  5. Step 5: Solve for x
    x = 538,142,578.04/35,426
  6. Step 6: Final answer
    x = 15,190.61

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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.