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Finding the Fourth Proportional to 4,210, 6,314.74 and 1,288.08

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Solution

The fourth proportional to 4,210, 6,314.74 and 1,288.08 is: 1,932.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,210 : 6,314.74 = 1,288.08 : x
  2. Step 2: Convert to fraction form
    4,210/6,314.74 = 1,288.08/x
  3. Step 3: Cross multiply
    4,210x = 6,314.74 × 1,288.08
  4. Step 4: Simplify right side
    4,210x = 8,133,890.30
  5. Step 5: Solve for x
    x = 8,133,890.30/4,210
  6. Step 6: Final answer
    x = 1,932.04

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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.