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Finding the Fourth Proportional to 5,206.73, 7,810.02 and 1,257.96

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Solution

The fourth proportional to 5,206.73, 7,810.02 and 1,257.96 is: 1,886.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.73 : 7,810.02 = 1,257.96 : x
  2. Step 2: Convert to fraction form
    5,206.73/7,810.02 = 1,257.96/x
  3. Step 3: Cross multiply
    5,206.73x = 7,810.02 × 1,257.96
  4. Step 4: Simplify right side
    5,206.73x = 9,824,653.71
  5. Step 5: Solve for x
    x = 9,824,653.71/5,206.73
  6. Step 6: Final answer
    x = 1,886.91

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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.