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Finding the Fourth Proportional to 30,857.71, 42,583.77 and 17,429.12

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Solution

The fourth proportional to 30,857.71, 42,583.77 and 17,429.12 is: 24,052.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,857.71 : 42,583.77 = 17,429.12 : x
  2. Step 2: Convert to fraction form
    30,857.71/42,583.77 = 17,429.12/x
  3. Step 3: Cross multiply
    30,857.71x = 42,583.77 × 17,429.12
  4. Step 4: Simplify right side
    30,857.71x = 742,197,637.38
  5. Step 5: Solve for x
    x = 742,197,637.38/30,857.71
  6. Step 6: Final answer
    x = 24,052.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.