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Finding the Fourth Proportional to 11,290.64, 15,584.48 and 7,312.04

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Solution

The fourth proportional to 11,290.64, 15,584.48 and 7,312.04 is: 10,092.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,290.64 : 15,584.48 = 7,312.04 : x
  2. Step 2: Convert to fraction form
    11,290.64/15,584.48 = 7,312.04/x
  3. Step 3: Cross multiply
    11,290.64x = 15,584.48 × 7,312.04
  4. Step 4: Simplify right side
    11,290.64x = 113,954,341.14
  5. Step 5: Solve for x
    x = 113,954,341.14/11,290.64
  6. Step 6: Final answer
    x = 10,092.82

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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.