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Finding the Fourth Proportional to 9,215, 12,716.72 and 5,023.24

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Solution

The fourth proportional to 9,215, 12,716.72 and 5,023.24 is: 6,932.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,215 : 12,716.72 = 5,023.24 : x
  2. Step 2: Convert to fraction form
    9,215/12,716.72 = 5,023.24/x
  3. Step 3: Cross multiply
    9,215x = 12,716.72 × 5,023.24
  4. Step 4: Simplify right side
    9,215x = 63,879,136.57
  5. Step 5: Solve for x
    x = 63,879,136.57/9,215
  6. Step 6: Final answer
    x = 6,932.08

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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.