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Finding the Fourth Proportional to 3,127, 4,315.68 and 1,800.46

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Solution

The fourth proportional to 3,127, 4,315.68 and 1,800.46 is: 2,484.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,127 : 4,315.68 = 1,800.46 : x
  2. Step 2: Convert to fraction form
    3,127/4,315.68 = 1,800.46/x
  3. Step 3: Cross multiply
    3,127x = 4,315.68 × 1,800.46
  4. Step 4: Simplify right side
    3,127x = 7,770,209.21
  5. Step 5: Solve for x
    x = 7,770,209.21/3,127
  6. Step 6: Final answer
    x = 2,484.88

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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.