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Finding the Fourth Proportional to 8,582.40, 12,860.25 and 4,135.28

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Solution

The fourth proportional to 8,582.40, 12,860.25 and 4,135.28 is: 6,196.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,582.40 : 12,860.25 = 4,135.28 : x
  2. Step 2: Convert to fraction form
    8,582.40/12,860.25 = 4,135.28/x
  3. Step 3: Cross multiply
    8,582.40x = 12,860.25 × 4,135.28
  4. Step 4: Simplify right side
    8,582.40x = 53,180,670.32
  5. Step 5: Solve for x
    x = 53,180,670.32/8,582.40
  6. Step 6: Final answer
    x = 6,196.48

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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.