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Finding the Fourth Proportional to 3,606.49, 5,407.80 and 1,657.63

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Solution

The fourth proportional to 3,606.49, 5,407.80 and 1,657.63 is: 2,485.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.49 : 5,407.80 = 1,657.63 : x
  2. Step 2: Convert to fraction form
    3,606.49/5,407.80 = 1,657.63/x
  3. Step 3: Cross multiply
    3,606.49x = 5,407.80 × 1,657.63
  4. Step 4: Simplify right side
    3,606.49x = 8,964,131.51
  5. Step 5: Solve for x
    x = 8,964,131.51/3,606.49
  6. Step 6: Final answer
    x = 2,485.56

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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.