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Finding the Fourth Proportional to 1,584, 2,186.40 and 1,032

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Solution

The fourth proportional to 1,584, 2,186.40 and 1,032 is: 1,424.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584 : 2,186.40 = 1,032 : x
  2. Step 2: Convert to fraction form
    1,584/2,186.40 = 1,032/x
  3. Step 3: Cross multiply
    1,584x = 2,186.40 × 1,032
  4. Step 4: Simplify right side
    1,584x = 2,256,364.80
  5. Step 5: Solve for x
    x = 2,256,364.80/1,584
  6. Step 6: Final answer
    x = 1,424.47

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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.