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Finding the Fourth Proportional to 10,074.63, 15,113.51 and 5,141.60

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Solution

The fourth proportional to 10,074.63, 15,113.51 and 5,141.60 is: 7,713.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,074.63 : 15,113.51 = 5,141.60 : x
  2. Step 2: Convert to fraction form
    10,074.63/15,113.51 = 5,141.60/x
  3. Step 3: Cross multiply
    10,074.63x = 15,113.51 × 5,141.60
  4. Step 4: Simplify right side
    10,074.63x = 77,707,521.74
  5. Step 5: Solve for x
    x = 77,707,521.74/10,074.63
  6. Step 6: Final answer
    x = 7,713.19

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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.