Home / 2,097.60-3,143.68-1,403.20

Finding the Fourth Proportional to 2,097.60, 3,143.68 and 1,403.20

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Solution

The fourth proportional to 2,097.60, 3,143.68 and 1,403.20 is: 2,102.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.60 : 3,143.68 = 1,403.20 : x
  2. Step 2: Convert to fraction form
    2,097.60/3,143.68 = 1,403.20/x
  3. Step 3: Cross multiply
    2,097.60x = 3,143.68 × 1,403.20
  4. Step 4: Simplify right side
    2,097.60x = 4,411,211.78
  5. Step 5: Solve for x
    x = 4,411,211.78/2,097.60
  6. Step 6: Final answer
    x = 2,102.98

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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.