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Finding the Fourth Proportional to 8,564.70, 12,853.54 and 3,637.80

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Solution

The fourth proportional to 8,564.70, 12,853.54 and 3,637.80 is: 5,459.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.70 : 12,853.54 = 3,637.80 : x
  2. Step 2: Convert to fraction form
    8,564.70/12,853.54 = 3,637.80/x
  3. Step 3: Cross multiply
    8,564.70x = 12,853.54 × 3,637.80
  4. Step 4: Simplify right side
    8,564.70x = 46,758,607.81
  5. Step 5: Solve for x
    x = 46,758,607.81/8,564.70
  6. Step 6: Final answer
    x = 5,459.46

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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.