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Finding the Fourth Proportional to 8,562.50, 11,794.38 and 6,569.63

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Solution

The fourth proportional to 8,562.50, 11,794.38 and 6,569.63 is: 9,049.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,562.50 : 11,794.38 = 6,569.63 : x
  2. Step 2: Convert to fraction form
    8,562.50/11,794.38 = 6,569.63/x
  3. Step 3: Cross multiply
    8,562.50x = 11,794.38 × 6,569.63
  4. Step 4: Simplify right side
    8,562.50x = 77,484,712.68
  5. Step 5: Solve for x
    x = 77,484,712.68/8,562.50
  6. Step 6: Final answer
    x = 9,049.31

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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.