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Finding the Fourth Proportional to 15,728.21, 23,597.99 and 7,931.15

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Solution

The fourth proportional to 15,728.21, 23,597.99 and 7,931.15 is: 11,899.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,728.21 : 23,597.99 = 7,931.15 : x
  2. Step 2: Convert to fraction form
    15,728.21/23,597.99 = 7,931.15/x
  3. Step 3: Cross multiply
    15,728.21x = 23,597.99 × 7,931.15
  4. Step 4: Simplify right side
    15,728.21x = 187,159,198.39
  5. Step 5: Solve for x
    x = 187,159,198.39/15,728.21
  6. Step 6: Final answer
    x = 11,899.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.