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Finding the Fourth Proportional to 30,268.68, 45,407.87 and 11,547.96

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Solution

The fourth proportional to 30,268.68, 45,407.87 and 11,547.96 is: 17,323.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,268.68 : 45,407.87 = 11,547.96 : x
  2. Step 2: Convert to fraction form
    30,268.68/45,407.87 = 11,547.96/x
  3. Step 3: Cross multiply
    30,268.68x = 45,407.87 × 11,547.96
  4. Step 4: Simplify right side
    30,268.68x = 524,368,266.45
  5. Step 5: Solve for x
    x = 524,368,266.45/30,268.68
  6. Step 6: Final answer
    x = 17,323.79

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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.