Home / 1,583.40-2,375.64-1,430.04

Finding the Fourth Proportional to 1,583.40, 2,375.64 and 1,430.04

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Solution

The fourth proportional to 1,583.40, 2,375.64 and 1,430.04 is: 2,145.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.40 : 2,375.64 = 1,430.04 : x
  2. Step 2: Convert to fraction form
    1,583.40/2,375.64 = 1,430.04/x
  3. Step 3: Cross multiply
    1,583.40x = 2,375.64 × 1,430.04
  4. Step 4: Simplify right side
    1,583.40x = 3,397,260.23
  5. Step 5: Solve for x
    x = 3,397,260.23/1,583.40
  6. Step 6: Final answer
    x = 2,145.55

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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.