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Finding the Fourth Proportional to 11,686.60, 17,573.10 and 9,785.80

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Solution

The fourth proportional to 11,686.60, 17,573.10 and 9,785.80 is: 14,714.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,686.60 : 17,573.10 = 9,785.80 : x
  2. Step 2: Convert to fraction form
    11,686.60/17,573.10 = 9,785.80/x
  3. Step 3: Cross multiply
    11,686.60x = 17,573.10 × 9,785.80
  4. Step 4: Simplify right side
    11,686.60x = 171,966,841.98
  5. Step 5: Solve for x
    x = 171,966,841.98/11,686.60
  6. Step 6: Final answer
    x = 14,714.87

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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.