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Finding the Fourth Proportional to 30,710.52, 46,083.54 and 12,939.92

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Solution

The fourth proportional to 30,710.52, 46,083.54 and 12,939.92 is: 19,417.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,710.52 : 46,083.54 = 12,939.92 : x
  2. Step 2: Convert to fraction form
    30,710.52/46,083.54 = 12,939.92/x
  3. Step 3: Cross multiply
    30,710.52x = 46,083.54 × 12,939.92
  4. Step 4: Simplify right side
    30,710.52x = 596,317,320.92
  5. Step 5: Solve for x
    x = 596,317,320.92/30,710.52
  6. Step 6: Final answer
    x = 19,417.36

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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.