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Finding the Fourth Proportional to 9,412.16, 12,990.48 and 8,942.24

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Solution

The fourth proportional to 9,412.16, 12,990.48 and 8,942.24 is: 12,341.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.16 : 12,990.48 = 8,942.24 : x
  2. Step 2: Convert to fraction form
    9,412.16/12,990.48 = 8,942.24/x
  3. Step 3: Cross multiply
    9,412.16x = 12,990.48 × 8,942.24
  4. Step 4: Simplify right side
    9,412.16x = 116,163,989.88
  5. Step 5: Solve for x
    x = 116,163,989.88/9,412.16
  6. Step 6: Final answer
    x = 12,341.91

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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.