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Finding the Fourth Proportional to 10,319.74, 15,478.10 and 3,300.54

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Solution

The fourth proportional to 10,319.74, 15,478.10 and 3,300.54 is: 4,950.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,319.74 : 15,478.10 = 3,300.54 : x
  2. Step 2: Convert to fraction form
    10,319.74/15,478.10 = 3,300.54/x
  3. Step 3: Cross multiply
    10,319.74x = 15,478.10 × 3,300.54
  4. Step 4: Simplify right side
    10,319.74x = 51,086,088.17
  5. Step 5: Solve for x
    x = 51,086,088.17/10,319.74
  6. Step 6: Final answer
    x = 4,950.33

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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.