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Finding the Fourth Proportional to 11,857.51, 17,810.84 and 9,409.56

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Solution

The fourth proportional to 11,857.51, 17,810.84 and 9,409.56 is: 14,133.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.51 : 17,810.84 = 9,409.56 : x
  2. Step 2: Convert to fraction form
    11,857.51/17,810.84 = 9,409.56/x
  3. Step 3: Cross multiply
    11,857.51x = 17,810.84 × 9,409.56
  4. Step 4: Simplify right side
    11,857.51x = 167,592,167.63
  5. Step 5: Solve for x
    x = 167,592,167.63/11,857.51
  6. Step 6: Final answer
    x = 14,133.84

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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.