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Finding the Fourth Proportional to 30,830.67, 46,246.01 and 7,457.13

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Solution

The fourth proportional to 30,830.67, 46,246.01 and 7,457.13 is: 11,185.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,830.67 : 46,246.01 = 7,457.13 : x
  2. Step 2: Convert to fraction form
    30,830.67/46,246.01 = 7,457.13/x
  3. Step 3: Cross multiply
    30,830.67x = 46,246.01 × 7,457.13
  4. Step 4: Simplify right side
    30,830.67x = 344,862,471.27
  5. Step 5: Solve for x
    x = 344,862,471.27/30,830.67
  6. Step 6: Final answer
    x = 11,185.70

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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.