Home / 1,580.48-2,365.55-1,428.90

Finding the Fourth Proportional to 1,580.48, 2,365.55 and 1,428.90

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Solution

The fourth proportional to 1,580.48, 2,365.55 and 1,428.90 is: 2,138.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.48 : 2,365.55 = 1,428.90 : x
  2. Step 2: Convert to fraction form
    1,580.48/2,365.55 = 1,428.90/x
  3. Step 3: Cross multiply
    1,580.48x = 2,365.55 × 1,428.90
  4. Step 4: Simplify right side
    1,580.48x = 3,380,127.25
  5. Step 5: Solve for x
    x = 3,380,127.25/1,580.48
  6. Step 6: Final answer
    x = 2,138.68

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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.