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Finding the Fourth Proportional to 30,943.65, 46,408.04 and 14,287.70

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Solution

The fourth proportional to 30,943.65, 46,408.04 and 14,287.70 is: 21,428.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,943.65 : 46,408.04 = 14,287.70 : x
  2. Step 2: Convert to fraction form
    30,943.65/46,408.04 = 14,287.70/x
  3. Step 3: Cross multiply
    30,943.65x = 46,408.04 × 14,287.70
  4. Step 4: Simplify right side
    30,943.65x = 663,063,849.63
  5. Step 5: Solve for x
    x = 663,063,849.63/30,943.65
  6. Step 6: Final answer
    x = 21,428.11

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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.