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Finding the Fourth Proportional to 4,188.71, 6,283.78 and 1,415.37

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Solution

The fourth proportional to 4,188.71, 6,283.78 and 1,415.37 is: 2,123.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188.71 : 6,283.78 = 1,415.37 : x
  2. Step 2: Convert to fraction form
    4,188.71/6,283.78 = 1,415.37/x
  3. Step 3: Cross multiply
    4,188.71x = 6,283.78 × 1,415.37
  4. Step 4: Simplify right side
    4,188.71x = 8,893,893.72
  5. Step 5: Solve for x
    x = 8,893,893.72/4,188.71
  6. Step 6: Final answer
    x = 2,123.30

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1.5x scale

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.