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Finding the Fourth Proportional to 5,146.18, 7,700.82 and 4,455.23

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Solution

The fourth proportional to 5,146.18, 7,700.82 and 4,455.23 is: 6,666.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.18 : 7,700.82 = 4,455.23 : x
  2. Step 2: Convert to fraction form
    5,146.18/7,700.82 = 4,455.23/x
  3. Step 3: Cross multiply
    5,146.18x = 7,700.82 × 4,455.23
  4. Step 4: Simplify right side
    5,146.18x = 34,308,915.80
  5. Step 5: Solve for x
    x = 34,308,915.80/5,146.18
  6. Step 6: Final answer
    x = 6,666.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.