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Finding the Fourth Proportional to 1,584.99, 2,187.31 and 876.87

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Solution

The fourth proportional to 1,584.99, 2,187.31 and 876.87 is: 1,210.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.99 : 2,187.31 = 876.87 : x
  2. Step 2: Convert to fraction form
    1,584.99/2,187.31 = 876.87/x
  3. Step 3: Cross multiply
    1,584.99x = 2,187.31 × 876.87
  4. Step 4: Simplify right side
    1,584.99x = 1,917,986.52
  5. Step 5: Solve for x
    x = 1,917,986.52/1,584.99
  6. Step 6: Final answer
    x = 1,210.09

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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.