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Finding the Fourth Proportional to 2,415.32, 3,335.86 and 1,628

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Solution

The fourth proportional to 2,415.32, 3,335.86 and 1,628 is: 2,248.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.32 : 3,335.86 = 1,628 : x
  2. Step 2: Convert to fraction form
    2,415.32/3,335.86 = 1,628/x
  3. Step 3: Cross multiply
    2,415.32x = 3,335.86 × 1,628
  4. Step 4: Simplify right side
    2,415.32x = 5,430,780.08
  5. Step 5: Solve for x
    x = 5,430,780.08/2,415.32
  6. Step 6: Final answer
    x = 2,248.47

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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.