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Finding the Fourth Proportional to 10,599.50, 14,627.32 and 5,884.22

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Solution

The fourth proportional to 10,599.50, 14,627.32 and 5,884.22 is: 8,120.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,599.50 : 14,627.32 = 5,884.22 : x
  2. Step 2: Convert to fraction form
    10,599.50/14,627.32 = 5,884.22/x
  3. Step 3: Cross multiply
    10,599.50x = 14,627.32 × 5,884.22
  4. Step 4: Simplify right side
    10,599.50x = 86,070,368.89
  5. Step 5: Solve for x
    x = 86,070,368.89/10,599.50
  6. Step 6: Final answer
    x = 8,120.23

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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.