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Finding the Fourth Proportional to 7,812.35, 11,712.10 and 3,650.30

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Solution

The fourth proportional to 7,812.35, 11,712.10 and 3,650.30 is: 5,472.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.35 : 11,712.10 = 3,650.30 : x
  2. Step 2: Convert to fraction form
    7,812.35/11,712.10 = 3,650.30/x
  3. Step 3: Cross multiply
    7,812.35x = 11,712.10 × 3,650.30
  4. Step 4: Simplify right side
    7,812.35x = 42,752,678.63
  5. Step 5: Solve for x
    x = 42,752,678.63/7,812.35
  6. Step 6: Final answer
    x = 5,472.45

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1.5x scale

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.