Home / 1,782.25-2,459.29-985.47

Finding the Fourth Proportional to 1,782.25, 2,459.29 and 985.47

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Solution

The fourth proportional to 1,782.25, 2,459.29 and 985.47 is: 1,359.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.25 : 2,459.29 = 985.47 : x
  2. Step 2: Convert to fraction form
    1,782.25/2,459.29 = 985.47/x
  3. Step 3: Cross multiply
    1,782.25x = 2,459.29 × 985.47
  4. Step 4: Simplify right side
    1,782.25x = 2,423,543.91
  5. Step 5: Solve for x
    x = 2,423,543.91/1,782.25
  6. Step 6: Final answer
    x = 1,359.82

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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.