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Finding the Fourth Proportional to 1,584, 2,178.63 and 1,387.17

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Solution

The fourth proportional to 1,584, 2,178.63 and 1,387.17 is: 1,907.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584 : 2,178.63 = 1,387.17 : x
  2. Step 2: Convert to fraction form
    1,584/2,178.63 = 1,387.17/x
  3. Step 3: Cross multiply
    1,584x = 2,178.63 × 1,387.17
  4. Step 4: Simplify right side
    1,584x = 3,022,130.18
  5. Step 5: Solve for x
    x = 3,022,130.18/1,584
  6. Step 6: Final answer
    x = 1,907.91

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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.