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Finding the Fourth Proportional to 4,288, 6,433.08 and 1,210

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Solution

The fourth proportional to 4,288, 6,433.08 and 1,210 is: 1,815.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,288 : 6,433.08 = 1,210 : x
  2. Step 2: Convert to fraction form
    4,288/6,433.08 = 1,210/x
  3. Step 3: Cross multiply
    4,288x = 6,433.08 × 1,210
  4. Step 4: Simplify right side
    4,288x = 7,784,026.80
  5. Step 5: Solve for x
    x = 7,784,026.80/4,288
  6. Step 6: Final answer
    x = 1,815.30

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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.