Home / 1,520.31-2,097.68-1,023.87

Finding the Fourth Proportional to 1,520.31, 2,097.68 and 1,023.87

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Solution

The fourth proportional to 1,520.31, 2,097.68 and 1,023.87 is: 1,412.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.31 : 2,097.68 = 1,023.87 : x
  2. Step 2: Convert to fraction form
    1,520.31/2,097.68 = 1,023.87/x
  3. Step 3: Cross multiply
    1,520.31x = 2,097.68 × 1,023.87
  4. Step 4: Simplify right side
    1,520.31x = 2,147,746.50
  5. Step 5: Solve for x
    x = 2,147,746.50/1,520.31
  6. Step 6: Final answer
    x = 1,412.70

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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.