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Finding the Fourth Proportional to 3,076.88, 4,615.92 and 1,345.50

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Solution

The fourth proportional to 3,076.88, 4,615.92 and 1,345.50 is: 2,018.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.88 : 4,615.92 = 1,345.50 : x
  2. Step 2: Convert to fraction form
    3,076.88/4,615.92 = 1,345.50/x
  3. Step 3: Cross multiply
    3,076.88x = 4,615.92 × 1,345.50
  4. Step 4: Simplify right side
    3,076.88x = 6,210,720.36
  5. Step 5: Solve for x
    x = 6,210,720.36/3,076.88
  6. Step 6: Final answer
    x = 2,018.52

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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.