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Finding the Fourth Proportional to 8,564.48, 12,840.49 and 5,784.26

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Solution

The fourth proportional to 8,564.48, 12,840.49 and 5,784.26 is: 8,672.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.48 : 12,840.49 = 5,784.26 : x
  2. Step 2: Convert to fraction form
    8,564.48/12,840.49 = 5,784.26/x
  3. Step 3: Cross multiply
    8,564.48x = 12,840.49 × 5,784.26
  4. Step 4: Simplify right side
    8,564.48x = 74,272,732.69
  5. Step 5: Solve for x
    x = 74,272,732.69/8,564.48
  6. Step 6: Final answer
    x = 8,672.18

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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.