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Finding the Fourth Proportional to 4,283.50, 5,911.24 and 2,420.50

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Solution

The fourth proportional to 4,283.50, 5,911.24 and 2,420.50 is: 3,340.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,283.50 : 5,911.24 = 2,420.50 : x
  2. Step 2: Convert to fraction form
    4,283.50/5,911.24 = 2,420.50/x
  3. Step 3: Cross multiply
    4,283.50x = 5,911.24 × 2,420.50
  4. Step 4: Simplify right side
    4,283.50x = 14,308,156.42
  5. Step 5: Solve for x
    x = 14,308,156.42/4,283.50
  6. Step 6: Final answer
    x = 3,340.30

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1.5x scale

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.