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Finding the Fourth Proportional to 4,281, 6,417.90 and 1,685.80

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Solution

The fourth proportional to 4,281, 6,417.90 and 1,685.80 is: 2,527.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,281 : 6,417.90 = 1,685.80 : x
  2. Step 2: Convert to fraction form
    4,281/6,417.90 = 1,685.80/x
  3. Step 3: Cross multiply
    4,281x = 6,417.90 × 1,685.80
  4. Step 4: Simplify right side
    4,281x = 10,819,295.82
  5. Step 5: Solve for x
    x = 10,819,295.82/4,281
  6. Step 6: Final answer
    x = 2,527.28

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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.