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Finding the Fourth Proportional to 3,587, 5,382.66 and 1,535

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Solution

The fourth proportional to 3,587, 5,382.66 and 1,535 is: 2,303.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,587 : 5,382.66 = 1,535 : x
  2. Step 2: Convert to fraction form
    3,587/5,382.66 = 1,535/x
  3. Step 3: Cross multiply
    3,587x = 5,382.66 × 1,535
  4. Step 4: Simplify right side
    3,587x = 8,262,383.10
  5. Step 5: Solve for x
    x = 8,262,383.10/3,587
  6. Step 6: Final answer
    x = 2,303.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.