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Finding the Fourth Proportional to 2,875, 3,967.52 and 1,633

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Solution

The fourth proportional to 2,875, 3,967.52 and 1,633 is: 2,253.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875 : 3,967.52 = 1,633 : x
  2. Step 2: Convert to fraction form
    2,875/3,967.52 = 1,633/x
  3. Step 3: Cross multiply
    2,875x = 3,967.52 × 1,633
  4. Step 4: Simplify right side
    2,875x = 6,478,960.16
  5. Step 5: Solve for x
    x = 6,478,960.16/2,875
  6. Step 6: Final answer
    x = 2,253.55

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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.