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Finding the Fourth Proportional to 12,418.63, 18,646.17 and 7,758.50

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Solution

The fourth proportional to 12,418.63, 18,646.17 and 7,758.50 is: 11,649.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,418.63 : 18,646.17 = 7,758.50 : x
  2. Step 2: Convert to fraction form
    12,418.63/18,646.17 = 7,758.50/x
  3. Step 3: Cross multiply
    12,418.63x = 18,646.17 × 7,758.50
  4. Step 4: Simplify right side
    12,418.63x = 144,666,309.95
  5. Step 5: Solve for x
    x = 144,666,309.95/12,418.63
  6. Step 6: Final answer
    x = 11,649.14

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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.