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Finding the Fourth Proportional to 1,587, 2,194.08 and 1,476.84

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Solution

The fourth proportional to 1,587, 2,194.08 and 1,476.84 is: 2,041.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587 : 2,194.08 = 1,476.84 : x
  2. Step 2: Convert to fraction form
    1,587/2,194.08 = 1,476.84/x
  3. Step 3: Cross multiply
    1,587x = 2,194.08 × 1,476.84
  4. Step 4: Simplify right side
    1,587x = 3,240,305.11
  5. Step 5: Solve for x
    x = 3,240,305.11/1,587
  6. Step 6: Final answer
    x = 2,041.78

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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.