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Finding the Fourth Proportional to 13,802.84, 19,051.61 and 8,502.10

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Solution

The fourth proportional to 13,802.84, 19,051.61 and 8,502.10 is: 11,735.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.84 : 19,051.61 = 8,502.10 : x
  2. Step 2: Convert to fraction form
    13,802.84/19,051.61 = 8,502.10/x
  3. Step 3: Cross multiply
    13,802.84x = 19,051.61 × 8,502.10
  4. Step 4: Simplify right side
    13,802.84x = 161,978,603.24
  5. Step 5: Solve for x
    x = 161,978,603.24/13,802.84
  6. Step 6: Final answer
    x = 11,735.17

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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.