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Finding the Fourth Proportional to 2,364.12, 3,543.75 and 902.88

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Solution

The fourth proportional to 2,364.12, 3,543.75 and 902.88 is: 1,353.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.12 : 3,543.75 = 902.88 : x
  2. Step 2: Convert to fraction form
    2,364.12/3,543.75 = 902.88/x
  3. Step 3: Cross multiply
    2,364.12x = 3,543.75 × 902.88
  4. Step 4: Simplify right side
    2,364.12x = 3,199,581
  5. Step 5: Solve for x
    x = 3,199,581/2,364.12
  6. Step 6: Final answer
    x = 1,353.39

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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.