Home / 2,802.30-4,203.98-1,415.70

Finding the Fourth Proportional to 2,802.30, 4,203.98 and 1,415.70

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Solution

The fourth proportional to 2,802.30, 4,203.98 and 1,415.70 is: 2,123.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.30 : 4,203.98 = 1,415.70 : x
  2. Step 2: Convert to fraction form
    2,802.30/4,203.98 = 1,415.70/x
  3. Step 3: Cross multiply
    2,802.30x = 4,203.98 × 1,415.70
  4. Step 4: Simplify right side
    2,802.30x = 5,951,567.41
  5. Step 5: Solve for x
    x = 5,951,567.41/2,802.30
  6. Step 6: Final answer
    x = 2,123.82

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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.