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Finding the Fourth Proportional to 30,309.90, 45,471 and 12,779.70

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Solution

The fourth proportional to 30,309.90, 45,471 and 12,779.70 is: 19,172.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,309.90 : 45,471 = 12,779.70 : x
  2. Step 2: Convert to fraction form
    30,309.90/45,471 = 12,779.70/x
  3. Step 3: Cross multiply
    30,309.90x = 45,471 × 12,779.70
  4. Step 4: Simplify right side
    30,309.90x = 581,105,738.70
  5. Step 5: Solve for x
    x = 581,105,738.70/30,309.90
  6. Step 6: Final answer
    x = 19,172.14

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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.