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Finding the Fourth Proportional to 5,235.80, 7,228.84 and 4,681.76

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Solution

The fourth proportional to 5,235.80, 7,228.84 and 4,681.76 is: 6,463.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.80 : 7,228.84 = 4,681.76 : x
  2. Step 2: Convert to fraction form
    5,235.80/7,228.84 = 4,681.76/x
  3. Step 3: Cross multiply
    5,235.80x = 7,228.84 × 4,681.76
  4. Step 4: Simplify right side
    5,235.80x = 33,843,693.96
  5. Step 5: Solve for x
    x = 33,843,693.96/5,235.80
  6. Step 6: Final answer
    x = 6,463.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.