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Finding the Fourth Proportional to 38,426, 57,588.78 and 19,690.16

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Solution

The fourth proportional to 38,426, 57,588.78 and 19,690.16 is: 29,509.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,426 : 57,588.78 = 19,690.16 : x
  2. Step 2: Convert to fraction form
    38,426/57,588.78 = 19,690.16/x
  3. Step 3: Cross multiply
    38,426x = 57,588.78 × 19,690.16
  4. Step 4: Simplify right side
    38,426x = 1,133,932,292.40
  5. Step 5: Solve for x
    x = 1,133,932,292.40/38,426
  6. Step 6: Final answer
    x = 29,509.51

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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.