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Finding the Fourth Proportional to 8,905.24, 12,345.42 and 8,431.24

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Solution

The fourth proportional to 8,905.24, 12,345.42 and 8,431.24 is: 11,688.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,905.24 : 12,345.42 = 8,431.24 : x
  2. Step 2: Convert to fraction form
    8,905.24/12,345.42 = 8,431.24/x
  3. Step 3: Cross multiply
    8,905.24x = 12,345.42 × 8,431.24
  4. Step 4: Simplify right side
    8,905.24x = 104,087,137.19
  5. Step 5: Solve for x
    x = 104,087,137.19/8,905.24
  6. Step 6: Final answer
    x = 11,688.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.