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Finding the Fourth Proportional to 11,457.64, 17,184.40 and 5,216.20

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Solution

The fourth proportional to 11,457.64, 17,184.40 and 5,216.20 is: 7,823.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,457.64 : 17,184.40 = 5,216.20 : x
  2. Step 2: Convert to fraction form
    11,457.64/17,184.40 = 5,216.20/x
  3. Step 3: Cross multiply
    11,457.64x = 17,184.40 × 5,216.20
  4. Step 4: Simplify right side
    11,457.64x = 89,637,267.28
  5. Step 5: Solve for x
    x = 89,637,267.28/11,457.64
  6. Step 6: Final answer
    x = 7,823.36

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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.