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Finding the Fourth Proportional to 2,415.55, 3,335 and 1,660.57

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Solution

The fourth proportional to 2,415.55, 3,335 and 1,660.57 is: 2,292.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.55 : 3,335 = 1,660.57 : x
  2. Step 2: Convert to fraction form
    2,415.55/3,335 = 1,660.57/x
  3. Step 3: Cross multiply
    2,415.55x = 3,335 × 1,660.57
  4. Step 4: Simplify right side
    2,415.55x = 5,538,000.95
  5. Step 5: Solve for x
    x = 5,538,000.95/2,415.55
  6. Step 6: Final answer
    x = 2,292.65

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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.