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Finding the Fourth Proportional to 8,509.92, 12,762.56 and 5,385.24

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Solution

The fourth proportional to 8,509.92, 12,762.56 and 5,385.24 is: 8,076.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.92 : 12,762.56 = 5,385.24 : x
  2. Step 2: Convert to fraction form
    8,509.92/12,762.56 = 5,385.24/x
  3. Step 3: Cross multiply
    8,509.92x = 12,762.56 × 5,385.24
  4. Step 4: Simplify right side
    8,509.92x = 68,729,448.61
  5. Step 5: Solve for x
    x = 68,729,448.61/8,509.92
  6. Step 6: Final answer
    x = 8,076.39

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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.