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Finding the Fourth Proportional to 11,689.16, 17,533.76 and 3,897.99

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Solution

The fourth proportional to 11,689.16, 17,533.76 and 3,897.99 is: 5,846.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,689.16 : 17,533.76 = 3,897.99 : x
  2. Step 2: Convert to fraction form
    11,689.16/17,533.76 = 3,897.99/x
  3. Step 3: Cross multiply
    11,689.16x = 17,533.76 × 3,897.99
  4. Step 4: Simplify right side
    11,689.16x = 68,346,401.65
  5. Step 5: Solve for x
    x = 68,346,401.65/11,689.16
  6. Step 6: Final answer
    x = 5,846.99

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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.