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Finding the Fourth Proportional to 8,342.32, 11,509.44 and 4,982.80

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Solution

The fourth proportional to 8,342.32, 11,509.44 and 4,982.80 is: 6,874.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.32 : 11,509.44 = 4,982.80 : x
  2. Step 2: Convert to fraction form
    8,342.32/11,509.44 = 4,982.80/x
  3. Step 3: Cross multiply
    8,342.32x = 11,509.44 × 4,982.80
  4. Step 4: Simplify right side
    8,342.32x = 57,349,237.63
  5. Step 5: Solve for x
    x = 57,349,237.63/8,342.32
  6. Step 6: Final answer
    x = 6,874.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.