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Finding the Fourth Proportional to 11,575.40, 15,971.94 and 9,803.24

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Solution

The fourth proportional to 11,575.40, 15,971.94 and 9,803.24 is: 13,526.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,575.40 : 15,971.94 = 9,803.24 : x
  2. Step 2: Convert to fraction form
    11,575.40/15,971.94 = 9,803.24/x
  3. Step 3: Cross multiply
    11,575.40x = 15,971.94 × 9,803.24
  4. Step 4: Simplify right side
    11,575.40x = 156,576,761.09
  5. Step 5: Solve for x
    x = 156,576,761.09/11,575.40
  6. Step 6: Final answer
    x = 13,526.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.