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Finding the Fourth Proportional to 10,344.07, 15,503.95 and 5,416.03

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Solution

The fourth proportional to 10,344.07, 15,503.95 and 5,416.03 is: 8,117.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,344.07 : 15,503.95 = 5,416.03 : x
  2. Step 2: Convert to fraction form
    10,344.07/15,503.95 = 5,416.03/x
  3. Step 3: Cross multiply
    10,344.07x = 15,503.95 × 5,416.03
  4. Step 4: Simplify right side
    10,344.07x = 83,969,858.32
  5. Step 5: Solve for x
    x = 83,969,858.32/10,344.07
  6. Step 6: Final answer
    x = 8,117.68

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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.