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Finding the Fourth Proportional to 13,898.56, 19,176 and 8,308.48

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Solution

The fourth proportional to 13,898.56, 19,176 and 8,308.48 is: 11,463.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,898.56 : 19,176 = 8,308.48 : x
  2. Step 2: Convert to fraction form
    13,898.56/19,176 = 8,308.48/x
  3. Step 3: Cross multiply
    13,898.56x = 19,176 × 8,308.48
  4. Step 4: Simplify right side
    13,898.56x = 159,323,412.48
  5. Step 5: Solve for x
    x = 159,323,412.48/13,898.56
  6. Step 6: Final answer
    x = 11,463.30

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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.