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Finding the Fourth Proportional to 12,582.24, 18,858.24 and 8,878.92

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Solution

The fourth proportional to 12,582.24, 18,858.24 and 8,878.92 is: 13,307.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,582.24 : 18,858.24 = 8,878.92 : x
  2. Step 2: Convert to fraction form
    12,582.24/18,858.24 = 8,878.92/x
  3. Step 3: Cross multiply
    12,582.24x = 18,858.24 × 8,878.92
  4. Step 4: Simplify right side
    12,582.24x = 167,440,804.30
  5. Step 5: Solve for x
    x = 167,440,804.30/12,582.24
  6. Step 6: Final answer
    x = 13,307.71

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1.5x scale

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.