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Finding the Fourth Proportional to 12,689.84, 19,024.68 and 5,756.24

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Solution

The fourth proportional to 12,689.84, 19,024.68 and 5,756.24 is: 8,629.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,689.84 : 19,024.68 = 5,756.24 : x
  2. Step 2: Convert to fraction form
    12,689.84/19,024.68 = 5,756.24/x
  3. Step 3: Cross multiply
    12,689.84x = 19,024.68 × 5,756.24
  4. Step 4: Simplify right side
    12,689.84x = 109,510,624.00
  5. Step 5: Solve for x
    x = 109,510,624.00/12,689.84
  6. Step 6: Final answer
    x = 8,629.79

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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.