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Finding the Fourth Proportional to 11,657.51, 17,485.80 and 2,892.20

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Solution

The fourth proportional to 11,657.51, 17,485.80 and 2,892.20 is: 4,338.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.51 : 17,485.80 = 2,892.20 : x
  2. Step 2: Convert to fraction form
    11,657.51/17,485.80 = 2,892.20/x
  3. Step 3: Cross multiply
    11,657.51x = 17,485.80 × 2,892.20
  4. Step 4: Simplify right side
    11,657.51x = 50,572,343.33
  5. Step 5: Solve for x
    x = 50,572,343.33/11,657.51
  6. Step 6: Final answer
    x = 4,338.18

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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.