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Finding the Fourth Proportional to 1,873.25, 2,585.09 and 1,045.25

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Solution

The fourth proportional to 1,873.25, 2,585.09 and 1,045.25 is: 1,442.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.25 : 2,585.09 = 1,045.25 : x
  2. Step 2: Convert to fraction form
    1,873.25/2,585.09 = 1,045.25/x
  3. Step 3: Cross multiply
    1,873.25x = 2,585.09 × 1,045.25
  4. Step 4: Simplify right side
    1,873.25x = 2,702,060.10
  5. Step 5: Solve for x
    x = 2,702,060.10/1,873.25
  6. Step 6: Final answer
    x = 1,442.45

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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.