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Finding the Fourth Proportional to 4,253.50, 5,870.37 and 2,390.50

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Solution

The fourth proportional to 4,253.50, 5,870.37 and 2,390.50 is: 3,299.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,253.50 : 5,870.37 = 2,390.50 : x
  2. Step 2: Convert to fraction form
    4,253.50/5,870.37 = 2,390.50/x
  3. Step 3: Cross multiply
    4,253.50x = 5,870.37 × 2,390.50
  4. Step 4: Simplify right side
    4,253.50x = 14,033,119.49
  5. Step 5: Solve for x
    x = 14,033,119.49/4,253.50
  6. Step 6: Final answer
    x = 3,299.19

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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.