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Finding the Fourth Proportional to 8,462.40, 12,697.20 and 4,077.60

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Solution

The fourth proportional to 8,462.40, 12,697.20 and 4,077.60 is: 6,118.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.40 : 12,697.20 = 4,077.60 : x
  2. Step 2: Convert to fraction form
    8,462.40/12,697.20 = 4,077.60/x
  3. Step 3: Cross multiply
    8,462.40x = 12,697.20 × 4,077.60
  4. Step 4: Simplify right side
    8,462.40x = 51,774,102.72
  5. Step 5: Solve for x
    x = 51,774,102.72/8,462.40
  6. Step 6: Final answer
    x = 6,118.13

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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.