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Finding the Fourth Proportional to 2,885.78, 4,327.70 and 937.50

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Solution

The fourth proportional to 2,885.78, 4,327.70 and 937.50 is: 1,405.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,885.78 : 4,327.70 = 937.50 : x
  2. Step 2: Convert to fraction form
    2,885.78/4,327.70 = 937.50/x
  3. Step 3: Cross multiply
    2,885.78x = 4,327.70 × 937.50
  4. Step 4: Simplify right side
    2,885.78x = 4,057,214.06
  5. Step 5: Solve for x
    x = 4,057,214.06/2,885.78
  6. Step 6: Final answer
    x = 1,405.94

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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.