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Finding the Fourth Proportional to 9,215, 12,716.70 and 5,023.28

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Solution

The fourth proportional to 9,215, 12,716.70 and 5,023.28 is: 6,932.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,215 : 12,716.70 = 5,023.28 : x
  2. Step 2: Convert to fraction form
    9,215/12,716.70 = 5,023.28/x
  3. Step 3: Cross multiply
    9,215x = 12,716.70 × 5,023.28
  4. Step 4: Simplify right side
    9,215x = 63,879,544.78
  5. Step 5: Solve for x
    x = 63,879,544.78/9,215
  6. Step 6: Final answer
    x = 6,932.13

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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.