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Finding the Fourth Proportional to 4,807.69, 7,211.80 and 1,345.21

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Solution

The fourth proportional to 4,807.69, 7,211.80 and 1,345.21 is: 2,017.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,807.69 : 7,211.80 = 1,345.21 : x
  2. Step 2: Convert to fraction form
    4,807.69/7,211.80 = 1,345.21/x
  3. Step 3: Cross multiply
    4,807.69x = 7,211.80 × 1,345.21
  4. Step 4: Simplify right side
    4,807.69x = 9,701,369.13
  5. Step 5: Solve for x
    x = 9,701,369.13/4,807.69
  6. Step 6: Final answer
    x = 2,017.89

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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.