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Finding the Fourth Proportional to 11,417.82, 15,746.37 and 9,509.99

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Solution

The fourth proportional to 11,417.82, 15,746.37 and 9,509.99 is: 13,115.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,417.82 : 15,746.37 = 9,509.99 : x
  2. Step 2: Convert to fraction form
    11,417.82/15,746.37 = 9,509.99/x
  3. Step 3: Cross multiply
    11,417.82x = 15,746.37 × 9,509.99
  4. Step 4: Simplify right side
    11,417.82x = 149,747,742.50
  5. Step 5: Solve for x
    x = 149,747,742.50/11,417.82
  6. Step 6: Final answer
    x = 13,115.27

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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.