Home / 1,580.24-2,180.48-917.12

Finding the Fourth Proportional to 1,580.24, 2,180.48 and 917.12

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Solution

The fourth proportional to 1,580.24, 2,180.48 and 917.12 is: 1,265.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.24 : 2,180.48 = 917.12 : x
  2. Step 2: Convert to fraction form
    1,580.24/2,180.48 = 917.12/x
  3. Step 3: Cross multiply
    1,580.24x = 2,180.48 × 917.12
  4. Step 4: Simplify right side
    1,580.24x = 1,999,761.82
  5. Step 5: Solve for x
    x = 1,999,761.82/1,580.24
  6. Step 6: Final answer
    x = 1,265.48

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1.5x scale

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.