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Finding the Fourth Proportional to 12,151.76, 18,214.64 and 8,678.48

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Solution

The fourth proportional to 12,151.76, 18,214.64 and 8,678.48 is: 13,008.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,151.76 : 18,214.64 = 8,678.48 : x
  2. Step 2: Convert to fraction form
    12,151.76/18,214.64 = 8,678.48/x
  3. Step 3: Cross multiply
    12,151.76x = 18,214.64 × 8,678.48
  4. Step 4: Simplify right side
    12,151.76x = 158,075,388.95
  5. Step 5: Solve for x
    x = 158,075,388.95/12,151.76
  6. Step 6: Final answer
    x = 13,008.44

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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.