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Finding the Fourth Proportional to 11,433.12, 17,149.64 and 7,509.14

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Solution

The fourth proportional to 11,433.12, 17,149.64 and 7,509.14 is: 11,263.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,433.12 : 17,149.64 = 7,509.14 : x
  2. Step 2: Convert to fraction form
    11,433.12/17,149.64 = 7,509.14/x
  3. Step 3: Cross multiply
    11,433.12x = 17,149.64 × 7,509.14
  4. Step 4: Simplify right side
    11,433.12x = 128,779,047.71
  5. Step 5: Solve for x
    x = 128,779,047.71/11,433.12
  6. Step 6: Final answer
    x = 11,263.68

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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.