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Finding the Fourth Proportional to 8,274, 12,411.06 and 2,430.70

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Solution

The fourth proportional to 8,274, 12,411.06 and 2,430.70 is: 3,646.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274 : 12,411.06 = 2,430.70 : x
  2. Step 2: Convert to fraction form
    8,274/12,411.06 = 2,430.70/x
  3. Step 3: Cross multiply
    8,274x = 12,411.06 × 2,430.70
  4. Step 4: Simplify right side
    8,274x = 30,167,563.54
  5. Step 5: Solve for x
    x = 30,167,563.54/8,274
  6. Step 6: Final answer
    x = 3,646.07

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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.