Home / 1,539.64-2,123.91-1,042.42

Finding the Fourth Proportional to 1,539.64, 2,123.91 and 1,042.42

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Solution

The fourth proportional to 1,539.64, 2,123.91 and 1,042.42 is: 1,438.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.64 : 2,123.91 = 1,042.42 : x
  2. Step 2: Convert to fraction form
    1,539.64/2,123.91 = 1,042.42/x
  3. Step 3: Cross multiply
    1,539.64x = 2,123.91 × 1,042.42
  4. Step 4: Simplify right side
    1,539.64x = 2,214,006.26
  5. Step 5: Solve for x
    x = 2,214,006.26/1,539.64
  6. Step 6: Final answer
    x = 1,438.00

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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.