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Finding the Fourth Proportional to 10,537.68, 15,838.50 and 7,040.10

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Solution

The fourth proportional to 10,537.68, 15,838.50 and 7,040.10 is: 10,581.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,537.68 : 15,838.50 = 7,040.10 : x
  2. Step 2: Convert to fraction form
    10,537.68/15,838.50 = 7,040.10/x
  3. Step 3: Cross multiply
    10,537.68x = 15,838.50 × 7,040.10
  4. Step 4: Simplify right side
    10,537.68x = 111,504,623.85
  5. Step 5: Solve for x
    x = 111,504,623.85/10,537.68
  6. Step 6: Final answer
    x = 10,581.52

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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.