Home / 1,582.30-2,369.13-1,144

Finding the Fourth Proportional to 1,582.30, 2,369.13 and 1,144

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Solution

The fourth proportional to 1,582.30, 2,369.13 and 1,144 is: 1,712.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.30 : 2,369.13 = 1,144 : x
  2. Step 2: Convert to fraction form
    1,582.30/2,369.13 = 1,144/x
  3. Step 3: Cross multiply
    1,582.30x = 2,369.13 × 1,144
  4. Step 4: Simplify right side
    1,582.30x = 2,710,284.72
  5. Step 5: Solve for x
    x = 2,710,284.72/1,582.30
  6. Step 6: Final answer
    x = 1,712.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.