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Finding the Fourth Proportional to 11,228.94, 15,502.29 and 7,457.28

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Solution

The fourth proportional to 11,228.94, 15,502.29 and 7,457.28 is: 10,295.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,228.94 : 15,502.29 = 7,457.28 : x
  2. Step 2: Convert to fraction form
    11,228.94/15,502.29 = 7,457.28/x
  3. Step 3: Cross multiply
    11,228.94x = 15,502.29 × 7,457.28
  4. Step 4: Simplify right side
    11,228.94x = 115,604,917.17
  5. Step 5: Solve for x
    x = 115,604,917.17/11,228.94
  6. Step 6: Final answer
    x = 10,295.27

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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.