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Finding the Fourth Proportional to 8,564.65, 12,848.49 and 3,021.21

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Solution

The fourth proportional to 8,564.65, 12,848.49 and 3,021.21 is: 4,532.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.65 : 12,848.49 = 3,021.21 : x
  2. Step 2: Convert to fraction form
    8,564.65/12,848.49 = 3,021.21/x
  3. Step 3: Cross multiply
    8,564.65x = 12,848.49 × 3,021.21
  4. Step 4: Simplify right side
    8,564.65x = 38,817,986.47
  5. Step 5: Solve for x
    x = 38,817,986.47/8,564.65
  6. Step 6: Final answer
    x = 4,532.35

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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.