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Finding the Fourth Proportional to 1,584.51, 2,187.70 and 987.24

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Solution

The fourth proportional to 1,584.51, 2,187.70 and 987.24 is: 1,363.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.51 : 2,187.70 = 987.24 : x
  2. Step 2: Convert to fraction form
    1,584.51/2,187.70 = 987.24/x
  3. Step 3: Cross multiply
    1,584.51x = 2,187.70 × 987.24
  4. Step 4: Simplify right side
    1,584.51x = 2,159,797.08
  5. Step 5: Solve for x
    x = 2,159,797.08/1,584.51
  6. Step 6: Final answer
    x = 1,363.07

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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.