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Finding the Fourth Proportional to 11,573.70, 15,980.85 and 10,689.14

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Solution

The fourth proportional to 11,573.70, 15,980.85 and 10,689.14 is: 14,759.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,573.70 : 15,980.85 = 10,689.14 : x
  2. Step 2: Convert to fraction form
    11,573.70/15,980.85 = 10,689.14/x
  3. Step 3: Cross multiply
    11,573.70x = 15,980.85 × 10,689.14
  4. Step 4: Simplify right side
    11,573.70x = 170,821,542.97
  5. Step 5: Solve for x
    x = 170,821,542.97/11,573.70
  6. Step 6: Final answer
    x = 14,759.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.