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Finding the Fourth Proportional to 1,885.47, 2,809.80 and 1,829.13

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Solution

The fourth proportional to 1,885.47, 2,809.80 and 1,829.13 is: 2,725.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.47 : 2,809.80 = 1,829.13 : x
  2. Step 2: Convert to fraction form
    1,885.47/2,809.80 = 1,829.13/x
  3. Step 3: Cross multiply
    1,885.47x = 2,809.80 × 1,829.13
  4. Step 4: Simplify right side
    1,885.47x = 5,139,489.47
  5. Step 5: Solve for x
    x = 5,139,489.47/1,885.47
  6. Step 6: Final answer
    x = 2,725.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.