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Finding the Fourth Proportional to 22,751.76, 31,409.82 and 15,716.04

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Solution

The fourth proportional to 22,751.76, 31,409.82 and 15,716.04 is: 21,696.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,751.76 : 31,409.82 = 15,716.04 : x
  2. Step 2: Convert to fraction form
    22,751.76/31,409.82 = 15,716.04/x
  3. Step 3: Cross multiply
    22,751.76x = 31,409.82 × 15,716.04
  4. Step 4: Simplify right side
    22,751.76x = 493,637,987.51
  5. Step 5: Solve for x
    x = 493,637,987.51/22,751.76
  6. Step 6: Final answer
    x = 21,696.69

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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.