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Finding the Fourth Proportional to 5,748, 8,625.84 and 2,100

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Solution

The fourth proportional to 5,748, 8,625.84 and 2,100 is: 3,151.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748 : 8,625.84 = 2,100 : x
  2. Step 2: Convert to fraction form
    5,748/8,625.84 = 2,100/x
  3. Step 3: Cross multiply
    5,748x = 8,625.84 × 2,100
  4. Step 4: Simplify right side
    5,748x = 18,114,264
  5. Step 5: Solve for x
    x = 18,114,264/5,748
  6. Step 6: Final answer
    x = 3,151.40

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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.