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Finding the Fourth Proportional to 8,562.40, 11,821.68 and 7,664.58

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Solution

The fourth proportional to 8,562.40, 11,821.68 and 7,664.58 is: 10,582.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,562.40 : 11,821.68 = 7,664.58 : x
  2. Step 2: Convert to fraction form
    8,562.40/11,821.68 = 7,664.58/x
  3. Step 3: Cross multiply
    8,562.40x = 11,821.68 × 7,664.58
  4. Step 4: Simplify right side
    8,562.40x = 90,608,212.09
  5. Step 5: Solve for x
    x = 90,608,212.09/8,562.40
  6. Step 6: Final answer
    x = 10,582.11

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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.