Home / 1,487.96-2,053.40-824.83

Finding the Fourth Proportional to 1,487.96, 2,053.40 and 824.83

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Solution

The fourth proportional to 1,487.96, 2,053.40 and 824.83 is: 1,138.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.96 : 2,053.40 = 824.83 : x
  2. Step 2: Convert to fraction form
    1,487.96/2,053.40 = 824.83/x
  3. Step 3: Cross multiply
    1,487.96x = 2,053.40 × 824.83
  4. Step 4: Simplify right side
    1,487.96x = 1,693,696.66
  5. Step 5: Solve for x
    x = 1,693,696.66/1,487.96
  6. Step 6: Final answer
    x = 1,138.27

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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.