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Finding the Fourth Proportional to 5,203.12, 7,807.20 and 4,775.44

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Solution

The fourth proportional to 5,203.12, 7,807.20 and 4,775.44 is: 7,165.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.12 : 7,807.20 = 4,775.44 : x
  2. Step 2: Convert to fraction form
    5,203.12/7,807.20 = 4,775.44/x
  3. Step 3: Cross multiply
    5,203.12x = 7,807.20 × 4,775.44
  4. Step 4: Simplify right side
    5,203.12x = 37,282,815.17
  5. Step 5: Solve for x
    x = 37,282,815.17/5,203.12
  6. Step 6: Final answer
    x = 7,165.47

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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.