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Finding the Fourth Proportional to 4,188.84, 6,283.26 and 1,415

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Solution

The fourth proportional to 4,188.84, 6,283.26 and 1,415 is: 2,122.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188.84 : 6,283.26 = 1,415 : x
  2. Step 2: Convert to fraction form
    4,188.84/6,283.26 = 1,415/x
  3. Step 3: Cross multiply
    4,188.84x = 6,283.26 × 1,415
  4. Step 4: Simplify right side
    4,188.84x = 8,890,812.90
  5. Step 5: Solve for x
    x = 8,890,812.90/4,188.84
  6. Step 6: Final answer
    x = 2,122.50

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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.