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Finding the Fourth Proportional to 1,811.76, 2,502 and 1,548.24

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Solution

The fourth proportional to 1,811.76, 2,502 and 1,548.24 is: 2,138.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,811.76 : 2,502 = 1,548.24 : x
  2. Step 2: Convert to fraction form
    1,811.76/2,502 = 1,548.24/x
  3. Step 3: Cross multiply
    1,811.76x = 2,502 × 1,548.24
  4. Step 4: Simplify right side
    1,811.76x = 3,873,696.48
  5. Step 5: Solve for x
    x = 3,873,696.48/1,811.76
  6. Step 6: Final answer
    x = 2,138.08

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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.