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Finding the Fourth Proportional to 4,145, 6,217.50 and 1,409

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Solution

The fourth proportional to 4,145, 6,217.50 and 1,409 is: 2,113.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,145 : 6,217.50 = 1,409 : x
  2. Step 2: Convert to fraction form
    4,145/6,217.50 = 1,409/x
  3. Step 3: Cross multiply
    4,145x = 6,217.50 × 1,409
  4. Step 4: Simplify right side
    4,145x = 8,760,457.50
  5. Step 5: Solve for x
    x = 8,760,457.50/4,145
  6. Step 6: Final answer
    x = 2,113.50

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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.