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Finding the Fourth Proportional to 9,215, 12,712.32 and 6,231.88

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Solution

The fourth proportional to 9,215, 12,712.32 and 6,231.88 is: 8,597.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,215 : 12,712.32 = 6,231.88 : x
  2. Step 2: Convert to fraction form
    9,215/12,712.32 = 6,231.88/x
  3. Step 3: Cross multiply
    9,215x = 12,712.32 × 6,231.88
  4. Step 4: Simplify right side
    9,215x = 79,221,652.76
  5. Step 5: Solve for x
    x = 79,221,652.76/9,215
  6. Step 6: Final answer
    x = 8,597.03

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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.