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Finding the Fourth Proportional to 7,848.08, 11,762.11 and 3,678.90

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Solution

The fourth proportional to 7,848.08, 11,762.11 and 3,678.90 is: 5,513.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848.08 : 11,762.11 = 3,678.90 : x
  2. Step 2: Convert to fraction form
    7,848.08/11,762.11 = 3,678.90/x
  3. Step 3: Cross multiply
    7,848.08x = 11,762.11 × 3,678.90
  4. Step 4: Simplify right side
    7,848.08x = 43,271,626.48
  5. Step 5: Solve for x
    x = 43,271,626.48/7,848.08
  6. Step 6: Final answer
    x = 5,513.66

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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.