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Finding the Fourth Proportional to 1,804.34, 2,490 and 1,141.58

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Solution

The fourth proportional to 1,804.34, 2,490 and 1,141.58 is: 1,575.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.34 : 2,490 = 1,141.58 : x
  2. Step 2: Convert to fraction form
    1,804.34/2,490 = 1,141.58/x
  3. Step 3: Cross multiply
    1,804.34x = 2,490 × 1,141.58
  4. Step 4: Simplify right side
    1,804.34x = 2,842,534.20
  5. Step 5: Solve for x
    x = 2,842,534.20/1,804.34
  6. Step 6: Final answer
    x = 1,575.39

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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.