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Finding the Fourth Proportional to 5,560, 7,672.80 and 3,076.16

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Solution

The fourth proportional to 5,560, 7,672.80 and 3,076.16 is: 4,245.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,560 : 7,672.80 = 3,076.16 : x
  2. Step 2: Convert to fraction form
    5,560/7,672.80 = 3,076.16/x
  3. Step 3: Cross multiply
    5,560x = 7,672.80 × 3,076.16
  4. Step 4: Simplify right side
    5,560x = 23,602,760.45
  5. Step 5: Solve for x
    x = 23,602,760.45/5,560
  6. Step 6: Final answer
    x = 4,245.10

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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.