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Finding the Fourth Proportional to 4,590, 6,885 and 1,512.24

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Solution

The fourth proportional to 4,590, 6,885 and 1,512.24 is: 2,268.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,590 : 6,885 = 1,512.24 : x
  2. Step 2: Convert to fraction form
    4,590/6,885 = 1,512.24/x
  3. Step 3: Cross multiply
    4,590x = 6,885 × 1,512.24
  4. Step 4: Simplify right side
    4,590x = 10,411,772.40
  5. Step 5: Solve for x
    x = 10,411,772.40/4,590
  6. Step 6: Final answer
    x = 2,268.36

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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.