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Finding the Fourth Proportional to 4,278, 5,903.64 and 2,415

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Solution

The fourth proportional to 4,278, 5,903.64 and 2,415 is: 3,332.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,278 : 5,903.64 = 2,415 : x
  2. Step 2: Convert to fraction form
    4,278/5,903.64 = 2,415/x
  3. Step 3: Cross multiply
    4,278x = 5,903.64 × 2,415
  4. Step 4: Simplify right side
    4,278x = 14,257,290.60
  5. Step 5: Solve for x
    x = 14,257,290.60/4,278
  6. Step 6: Final answer
    x = 3,332.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.