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Finding the Fourth Proportional to 9,235.42, 13,903.06 and 8,431.90

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Solution

The fourth proportional to 9,235.42, 13,903.06 and 8,431.90 is: 12,693.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,235.42 : 13,903.06 = 8,431.90 : x
  2. Step 2: Convert to fraction form
    9,235.42/13,903.06 = 8,431.90/x
  3. Step 3: Cross multiply
    9,235.42x = 13,903.06 × 8,431.90
  4. Step 4: Simplify right side
    9,235.42x = 117,229,211.61
  5. Step 5: Solve for x
    x = 117,229,211.61/9,235.42
  6. Step 6: Final answer
    x = 12,693.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.