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Finding the Fourth Proportional to 19,822.32, 29,762.64 and 8,158.32

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Solution

The fourth proportional to 19,822.32, 29,762.64 and 8,158.32 is: 12,249.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,822.32 : 29,762.64 = 8,158.32 : x
  2. Step 2: Convert to fraction form
    19,822.32/29,762.64 = 8,158.32/x
  3. Step 3: Cross multiply
    19,822.32x = 29,762.64 × 8,158.32
  4. Step 4: Simplify right side
    19,822.32x = 242,813,141.16
  5. Step 5: Solve for x
    x = 242,813,141.16/19,822.32
  6. Step 6: Final answer
    x = 12,249.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.