Home / 1,580-2,180.60-1,139.36

Finding the Fourth Proportional to 1,580, 2,180.60 and 1,139.36

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Solution

The fourth proportional to 1,580, 2,180.60 and 1,139.36 is: 1,572.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580 : 2,180.60 = 1,139.36 : x
  2. Step 2: Convert to fraction form
    1,580/2,180.60 = 1,139.36/x
  3. Step 3: Cross multiply
    1,580x = 2,180.60 × 1,139.36
  4. Step 4: Simplify right side
    1,580x = 2,484,488.42
  5. Step 5: Solve for x
    x = 2,484,488.42/1,580
  6. Step 6: Final answer
    x = 1,572.46

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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.