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Finding the Fourth Proportional to 12,937, 19,407.84 and 8,558.08

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Solution

The fourth proportional to 12,937, 19,407.84 and 8,558.08 is: 12,838.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,937 : 19,407.84 = 8,558.08 : x
  2. Step 2: Convert to fraction form
    12,937/19,407.84 = 8,558.08/x
  3. Step 3: Cross multiply
    12,937x = 19,407.84 × 8,558.08
  4. Step 4: Simplify right side
    12,937x = 166,093,847.35
  5. Step 5: Solve for x
    x = 166,093,847.35/12,937
  6. Step 6: Final answer
    x = 12,838.67

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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.